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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 5: Introduction to Linear Relationships

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Staircase Clip Art Math Clip Art: Staircase Steepness

In this set of clip art images, different values for the rise and run are given, but in all cases they result in the same slope for the staircase. These images help advance the idea that slope is a ratio and proportion.

Slope
Staircase Clip Art Math Clip Art: Staircase Steepness

In this set of clip art images, different values for the rise and run are given, but in all cases they result in the same slope for the staircase. These images help advance the idea that slope is a ratio and proportion.

Slope
Math Clip Art: Types of Slope Math Clip Art: Types of Slope

Math Clip Art: Types of Slope

Use these clip art images to show the different types of slope available. These slope types are covered:

Positive SlopeNegative SlopeZero SlopeNo SlopeSlope = 1Slope =-10 < Slope < 1Slope > 1
Slope
Math Clip Art: Types of Slope Math Clip Art: Types of Slope

Math Clip Art: Types of Slope

Use these clip art images to show the different types of slope available. These slope types are covered:

Positive SlopeNegative SlopeZero SlopeNo SlopeSlope = 1Slope =-10 < Slope < 1Slope > 1
Slope
Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1

Topic

Slope Formula

Description

This example demonstrates how to calculate the slope of a line connecting two points on a coordinate grid. The points (1, 2) and (7, 6) are plotted, and the slope formula is applied to find the slope between them. The calculation shows that the slope is (6 - 2) / (7 - 1) = 4 / 6 = 2 / 3.

The slope formula is a fundamental concept in coordinate geometry, allowing us to determine the steepness and direction of a line. It's essential for understanding linear relationships and is widely used in various mathematical and real-world applications.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1

Topic

Slope Formula

Description

This example demonstrates how to calculate the slope of a line connecting two points on a coordinate grid. The points (1, 2) and (7, 6) are plotted, and the slope formula is applied to find the slope between them. The calculation shows that the slope is (6 - 2) / (7 - 1) = 4 / 6 = 2 / 3.

The slope formula is a fundamental concept in coordinate geometry, allowing us to determine the steepness and direction of a line. It's essential for understanding linear relationships and is widely used in various mathematical and real-world applications.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1

Topic

Slope Formula

Description

This example demonstrates how to calculate the slope of a line connecting two points on a coordinate grid. The points (1, 2) and (7, 6) are plotted, and the slope formula is applied to find the slope between them. The calculation shows that the slope is (6 - 2) / (7 - 1) = 4 / 6 = 2 / 3.

The slope formula is a fundamental concept in coordinate geometry, allowing us to determine the steepness and direction of a line. It's essential for understanding linear relationships and is widely used in various mathematical and real-world applications.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (1, 6) and (10, -3) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - (-3)) / (1 - 10) = 9 / -9 = -1.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (1, 6) and (10, -3) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - (-3)) / (1 - 10) = 9 / -9 = -1.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (1, 6) and (10, -3) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - (-3)) / (1 - 10) = 9 / -9 = -1.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a vertical line connecting points (5, 6) and (5, -8) on a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - (-8)) / (5 - 5) = 14 / 0, which is undefined.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical, resulting in an undefined slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a vertical line connecting points (5, 6) and (5, -8) on a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - (-8)) / (5 - 5) = 14 / 0, which is undefined.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical, resulting in an undefined slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a vertical line connecting points (5, 6) and (5, -8) on a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - (-8)) / (5 - 5) = 14 / 0, which is undefined.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical, resulting in an undefined slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (-2, 6) and (-4, -8) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - (-8)) / (-2 - (-4)) = 14 / 2 = 7.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with negative coordinates when calculating slope, resulting in a positive slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (-2, 6) and (-4, -8) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - (-8)) / (-2 - (-4)) = 14 / 2 = 7.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with negative coordinates when calculating slope, resulting in a positive slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (-2, 6) and (-4, -8) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - (-8)) / (-2 - (-4)) = 14 / 2 = 7.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with negative coordinates when calculating slope, resulting in a positive slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (-10, 6) and (-1, -1) on a Cartesian plane. The line crosses quadrants II and III. Applying the slope formula, we find that the slope is (6 - (-1)) / (-10 - (-1)) = 7 / -9 = -7 / 9.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points in different quadrants and with negative coordinates when calculating slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (-10, 6) and (-1, -1) on a Cartesian plane. The line crosses quadrants II and III. Applying the slope formula, we find that the slope is (6 - (-1)) / (-10 - (-1)) = 7 / -9 = -7 / 9.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points in different quadrants and with negative coordinates when calculating slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (-10, 6) and (-1, -1) on a Cartesian plane. The line crosses quadrants II and III. Applying the slope formula, we find that the slope is (6 - (-1)) / (-10 - (-1)) = 7 / -9 = -7 / 9.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points in different quadrants and with negative coordinates when calculating slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a vertical line passing through two points: (-5, 6) and (-5, -4) in Quadrant II of a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - (-4)) / (-5 - (-5)) = 10 / 0, which is undefined.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical, resulting in an undefined slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a vertical line passing through two points: (-5, 6) and (-5, -4) in Quadrant II of a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - (-4)) / (-5 - (-5)) = 10 / 0, which is undefined.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical, resulting in an undefined slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a vertical line passing through two points: (-5, 6) and (-5, -4) in Quadrant II of a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - (-4)) / (-5 - (-5)) = 10 / 0, which is undefined.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical, resulting in an undefined slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (4, -5) and (-2, -7) on a Cartesian plane. The line crosses quadrants III and IV. Applying the slope formula, we find that the slope is (-5 - (-7)) / (4 - (-2)) = 2 / 6 = 1 / 3.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with negative coordinates and in different quadrants when calculating slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (4, -5) and (-2, -7) on a Cartesian plane. The line crosses quadrants III and IV. Applying the slope formula, we find that the slope is (-5 - (-7)) / (4 - (-2)) = 2 / 6 = 1 / 3.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with negative coordinates and in different quadrants when calculating slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (4, -5) and (-2, -7) on a Cartesian plane. The line crosses quadrants III and IV. Applying the slope formula, we find that the slope is (-5 - (-7)) / (4 - (-2)) = 2 / 6 = 1 / 3.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with negative coordinates and in different quadrants when calculating slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (9, -10) and (-1, -2) on a Cartesian plane. The line crosses quadrants III and IV diagonally. Applying the slope formula, we find that the slope is (-2 - (-10)) / (-1 - 9) = 8 / -10 = -4 / 5.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative fraction.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (9, -10) and (-1, -2) on a Cartesian plane. The line crosses quadrants III and IV diagonally. Applying the slope formula, we find that the slope is (-2 - (-10)) / (-1 - 9) = 8 / -10 = -4 / 5.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative fraction.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (9, -10) and (-1, -2) on a Cartesian plane. The line crosses quadrants III and IV diagonally. Applying the slope formula, we find that the slope is (-2 - (-10)) / (-1 - 9) = 8 / -10 = -4 / 5.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative fraction.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a horizontal line connecting points (-2, -7) and (3, -7) on a Cartesian plane. When we apply the slope formula, we find that the slope is (-7 - (-7)) / (-2 - 3) = 0 / -5 = 0.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal, resulting in a slope of zero, even when the points have different x-coordinates.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a horizontal line connecting points (-2, -7) and (3, -7) on a Cartesian plane. When we apply the slope formula, we find that the slope is (-7 - (-7)) / (-2 - 3) = 0 / -5 = 0.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal, resulting in a slope of zero, even when the points have different x-coordinates.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a horizontal line connecting points (-2, -7) and (3, -7) on a Cartesian plane. When we apply the slope formula, we find that the slope is (-7 - (-7)) / (-2 - 3) = 0 / -5 = 0.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal, resulting in a slope of zero, even when the points have different x-coordinates.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (-6, 0) and (0, 4) on a Cartesian plane. Applying the slope formula, we find that the slope is (4 - 0) / (0 - (-6)) = 4 / 6 = 2 / 3.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with both positive and negative coordinates when calculating slope, resulting in a positive fraction.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (-6, 0) and (0, 4) on a Cartesian plane. Applying the slope formula, we find that the slope is (4 - 0) / (0 - (-6)) = 4 / 6 = 2 / 3.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with both positive and negative coordinates when calculating slope, resulting in a positive fraction.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (-6, 0) and (0, 4) on a Cartesian plane. Applying the slope formula, we find that the slope is (4 - 0) / (0 - (-6)) = 4 / 6 = 2 / 3.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This example shows how to handle points with both positive and negative coordinates when calculating slope, resulting in a positive fraction.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (1, 0) and (0, 6) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - 0) / (0 - 1) = 6 / -1 = -6.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative integer slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (1, 0) and (0, 6) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - 0) / (0 - 1) = 6 / -1 = -6.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative integer slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a line connecting two points: (1, 0) and (0, 6) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - 0) / (0 - 1) = 6 / -1 = -6.

The slope formula is a crucial concept in coordinate geometry, helping us understand the steepness and direction of lines. This example demonstrates how to handle points with both positive and negative coordinates when calculating slope, resulting in a negative integer slope.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2

Topic

Slope Formula

Description

This example illustrates the calculation of slope between two points (3, 7) and (9, 2) on a coordinate grid. The slope formula is applied to find that the slope is (7 - 2) / (3 - 9) = 5 / -6 = -5 / 6.

Understanding the slope formula is crucial in coordinate geometry as it helps describe the steepness and direction of a line. This concept is widely used in various mathematical applications and real-world scenarios.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2

Topic

Slope Formula

Description

This example illustrates the calculation of slope between two points (3, 7) and (9, 2) on a coordinate grid. The slope formula is applied to find that the slope is (7 - 2) / (3 - 9) = 5 / -6 = -5 / 6.

Understanding the slope formula is crucial in coordinate geometry as it helps describe the steepness and direction of a line. This concept is widely used in various mathematical applications and real-world scenarios.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2

Topic

Slope Formula

Description

This example illustrates the calculation of slope between two points (3, 7) and (9, 2) on a coordinate grid. The slope formula is applied to find that the slope is (7 - 2) / (3 - 9) = 5 / -6 = -5 / 6.

Understanding the slope formula is crucial in coordinate geometry as it helps describe the steepness and direction of a line. This concept is widely used in various mathematical applications and real-world scenarios.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a horizontal line connecting points (0, 0) and (8, 0) on a Cartesian plane. When we apply the slope formula, we find that the slope is (0 - 0) / (8 - 0) = 0 / 8 = 0.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal and lies on the x-axis, resulting in a slope of zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a horizontal line connecting points (0, 0) and (8, 0) on a Cartesian plane. When we apply the slope formula, we find that the slope is (0 - 0) / (8 - 0) = 0 / 8 = 0.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal and lies on the x-axis, resulting in a slope of zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a horizontal line connecting points (0, 0) and (8, 0) on a Cartesian plane. When we apply the slope formula, we find that the slope is (0 - 0) / (8 - 0) = 0 / 8 = 0.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal and lies on the x-axis, resulting in a slope of zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a vertical line connecting points (0, 0) and (0, 6) on a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - 0) / (0 - 0) = 6 / 0, which is undefined.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical and lies on the y-axis, resulting in an undefined slope due to division by zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a vertical line connecting points (0, 0) and (0, 6) on a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - 0) / (0 - 0) = 6 / 0, which is undefined.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical and lies on the y-axis, resulting in an undefined slope due to division by zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a vertical line connecting points (0, 0) and (0, 6) on a Cartesian plane. When we apply the slope formula, we find that the slope is (6 - 0) / (0 - 0) = 6 / 0, which is undefined.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical and lies on the y-axis, resulting in an undefined slope due to division by zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a horizontal line connecting points (2, 4) and (9, 4) on a coordinate grid. When we apply the slope formula, we find that the slope is (4 - 4) / (9 - 2) = 0 / 7 = 0.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal, resulting in a slope of zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a horizontal line connecting points (2, 4) and (9, 4) on a coordinate grid. When we apply the slope formula, we find that the slope is (4 - 4) / (9 - 2) = 0 / 7 = 0.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal, resulting in a slope of zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a horizontal line connecting points (2, 4) and (9, 4) on a coordinate grid. When we apply the slope formula, we find that the slope is (4 - 4) / (9 - 2) = 0 / 7 = 0.

The slope formula is a fundamental concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is horizontal, resulting in a slope of zero.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 4 Math Example--Coordinate Geometry--Slope Formula: Example 4 Math Example--Coordinate Geometry--Slope Formula: Example 4

Topic

Slope Formula

Description

This example illustrates the calculation of slope for a vertical line passing through points (5, 8) and (5, 2) on a coordinate grid. When we apply the slope formula, we find that the slope is (8 - 2) / (5 - 5) = 6 / 0, which is undefined.

The slope formula is a key concept in coordinate geometry, helping us understand the steepness and direction of lines. This particular example highlights a special case where the line is vertical, resulting in an undefined slope.

Slope