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.

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

Teacher's Script: Take a close look at this example. Notice how we handle the negative coordinates when calculating the slope. Remember, when subtracting negative numbers, we need to be careful with the signs. In this case, the line has a positive slope of 7, meaning it rises very steeply as we move from left to right. For every 1 unit we move horizontally, the line rises by 7 units. Can you visualize how steep this line would be on the graph? How does this compare to some of the other slopes we've calculated?

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