Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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INSTRUCTIONAL RESOURCE: Tutorial: Using the Slope Formula | INSTRUCTIONAL RESOURCE: Tutorial: Using the Slope Formula
In this Slide Show, learn how to use the slope formula. This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Slope | |
Interactive Crossword Puzzle--Slope Intercept Form | Interactive Crossword Puzzle--Slope Intercept Form
This interactive crossword puzzle tests knowledge of key terms on the topic of the slope intercept form. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Slope-Intercept Form | |
Math Clip Art--Linear Functions Concepts--Using the Slope Formula 1 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 1TopicLinear Functions DescriptionThis image is the first in a series of 6 clip art images that show step by step how to use the slope formula. It serves as an introduction, with the title "Introduction" and includes the text "In this presentation, we walk you through the steps of using the Slope Formula." The image features a linear graph with two generic points highlighted and the slope formula displayed. |
Slope and Ratios and Rates | |
Math Clip Art--Linear Functions Concepts--Using the Slope Formula 2 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 2TopicLinear Functions DescriptionThis image is a continuation of the previous one, focusing on Step 1 of using the slope formula: "Identify the Coordinates." The example in this series of images deals with coordinates (3, 4) and (-5, -4), demonstrating how to select two points on a line to calculate its slope. Teachers can guide students through this step by saying: "The first step in using the slope formula is to identify two points on our line. In this example, we're using the points (3, 4) and (-5, -4). Can you locate these points on the graph? Why do you think it's important to choose two different points?" |
Slope and Ratios and Rates | |
Math Clip Art--Linear Functions Concepts--Using the Slope Formula 3 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 3TopicLinear Functions DescriptionThis image continues the series, focusing on Step 2 of using the slope formula: "Match Coordinates to Formula." It demonstrates how to correctly assign the chosen coordinates to the variables in the slope formula. |
Slope and Ratios and Rates | |
Math Clip Art--Linear Functions Concepts--Using the Slope Formula 4 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 4TopicLinear Functions DescriptionThis image focuses on Step 3 of using the slope formula: "Assign Values to Formula." It shows how to substitute the actual coordinate values into the slope formula, preparing for the calculation of the slope. |
Slope and Ratios and Rates | |
Math Clip Art--Linear Functions Concepts--Using the Slope Formula 5 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 5TopicLinear Functions DescriptionThis image continues the series, focusing on Step 4 of using the slope formula: "Assign Values to Formula." It completes the assignment of coordinate values in the slope formula. In this case we deal with x2 and y2. Teachers can walk students through this step by saying: "Now we complete the assignment of coordinate values into the slope formula. In this case we deal with x2 and y2. Do you see how those coordinates are highlighted in the formula?" |
Slope and Ratios and Rates | |
Math Clip Art--Linear Functions Concepts--Using the Slope Formula 6 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 6TopicLinear Functions DescriptionThis final image in the series focuses on Step 5 of using the slope formula: "Simplify." It shows how to express the calculated slope in its simplest form, if necessary. Teachers can conclude the lesson with this step by saying: "Our last step is to simplify our result if possible. Sometimes, our slope might be a fraction that can be reduced. Other times, it might already be in its simplest form. Why is it important to express our slope in the simplest possible way? How does this final step help us interpret what the slope means in the context of our line?" |
Slope and Ratios and Rates | |
Math Clip Art: Images of Staircases | Use this selection of images to show steepness of stairs as a way of introducing the concept of slope. |
Slope | |
Math Clip Art: Slope vs. Rate | Math Clip Art: Slope vs. Rate In these clip art images, show students the difference between ratios and rates. These images are useful when talking about slope as both a ratio and a rate. In particular, this is useful when talking about slope as a rate of change. |
Slope and Ratios and Rates | |
Math Clip Art: Slopes of Lines | Math Clip Art: Slopes of Lines Have students compare the slopes of the pairs of lines from these clip art images. Have them use the background grid for measuring the rise and the run. |
Slope | |
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 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--Charts, Graphs, and Plots--Estimating the Line of Best Fit: Example 5 | Math Example--Charts, Graphs, and Plots-- Estimating the Line of Best Fit: Example 5
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Point-Slope Form, Slope-Intercept Form and Data Analysis | |
Math Example--Charts, Graphs, and Plots--Estimating the Line of Best Fit: Example 5 | Math Example--Charts, Graphs, and Plots-- Estimating the Line of Best Fit: Example 5
In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models. |
Point-Slope Form, Slope-Intercept Form and Data Analysis | |
Math Example--Coordinate Geometry--Slope Formula: Example 1 | Math Example--Coordinate Geometry--Slope Formula: Example 1TopicSlope Formula DescriptionThis 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 1TopicSlope Formula DescriptionThis 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 10TopicSlope Formula DescriptionThis 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 10TopicSlope Formula DescriptionThis 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 11TopicSlope Formula DescriptionThis 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 11TopicSlope Formula DescriptionThis 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 12TopicSlope Formula DescriptionThis 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 12TopicSlope Formula DescriptionThis 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 13TopicSlope Formula DescriptionThis 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 13TopicSlope Formula DescriptionThis 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 14TopicSlope Formula DescriptionThis 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 14TopicSlope Formula DescriptionThis 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 15TopicSlope Formula DescriptionThis 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 15TopicSlope Formula DescriptionThis 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 16TopicSlope Formula DescriptionThis 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 16TopicSlope Formula DescriptionThis 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 17TopicSlope Formula DescriptionThis 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 17TopicSlope Formula DescriptionThis 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 18TopicSlope Formula DescriptionThis 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 18TopicSlope Formula DescriptionThis 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 19TopicSlope Formula DescriptionThis 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 19TopicSlope Formula DescriptionThis 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 2TopicSlope Formula DescriptionThis 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 2TopicSlope Formula DescriptionThis 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 20TopicSlope Formula DescriptionThis 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 20TopicSlope Formula DescriptionThis 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 21TopicSlope Formula DescriptionThis 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 21TopicSlope Formula DescriptionThis 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 3TopicSlope Formula DescriptionThis 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 3TopicSlope Formula DescriptionThis 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 4TopicSlope Formula DescriptionThis 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 | |
Math Example--Coordinate Geometry--Slope Formula: Example 4 | Math Example--Coordinate Geometry--Slope Formula: Example 4TopicSlope Formula DescriptionThis 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 | |
Math Example--Coordinate Geometry--Slope Formula: Example 5 | Math Example--Coordinate Geometry--Slope Formula: Example 5TopicSlope Formula DescriptionThis example demonstrates the calculation of slope for a line connecting two points in different quadrants: (-6, -2) in Quadrant III and (6, 5) in Quadrant I. Applying the slope formula, we find that the slope is (5 - (-2)) / (6 - (-6)) = 7 / 12 = 1 / 4. 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 negative coordinates and points in different quadrants when calculating slope. |
Slope | |
Math Example--Coordinate Geometry--Slope Formula: Example 5 | Math Example--Coordinate Geometry--Slope Formula: Example 5TopicSlope Formula DescriptionThis example demonstrates the calculation of slope for a line connecting two points in different quadrants: (-6, -2) in Quadrant III and (6, 5) in Quadrant I. Applying the slope formula, we find that the slope is (5 - (-2)) / (6 - (-6)) = 7 / 12 = 1 / 4. 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 negative coordinates and points in different quadrants when calculating slope. |
Slope | |
Math Example--Coordinate Geometry--Slope Formula: Example 6 | Math Example--Coordinate Geometry--Slope Formula: Example 6TopicSlope Formula DescriptionThis example illustrates the calculation of slope for a line connecting two points in different quadrants: (-4, 8) in Quadrant II and (6, 2) in Quadrant I. Applying the slope formula, we find that the slope is (8 - 2) / (-4 - 6) = 6 / -10 = -3 / 5. 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 in different quadrants and interpret a negative slope. |
Slope |