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.

Providing multiple examples like this allows students to encounter various scenarios, including those involving negative slopes. This helps reinforce the concept and improves their ability to calculate and interpret slopes in more complex situations.

Teacher's Script: Take a close look at this example. Notice that the slope is -1, indicating that the line is decreasing at a 45-degree angle as we move from left to right. Remember, when we have a slope of -1, it means that for every unit we move to the right, the line falls by exactly one unit. Can you think of real-world situations where we might encounter lines with a slope of -1?

For a complete collection of math examples related to Slope Formula click on this link: Math Examples: Slope Formula Collection.