Math Example--Coordinate Geometry--Slope Formula: Example 9

Topic

Slope Formula

Description

This example demonstrates the calculation of slope for a line connecting two points: (9, 6) and (2, -8) on a Cartesian plane. Applying the slope formula, we find that the slope is (6 - (-8)) / (9 - 2) = 14 / 7 = 2.

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.

By providing multiple examples like this, students can see how the slope formula applies in various scenarios, including those involving both positive and negative coordinates. This helps reinforce the concept and improves their ability to calculate slopes accurately in more complex situations.

Teacher's Script: Let's examine this example closely. Notice how we handle the negative y-coordinate when calculating the slope. Remember, when subtracting a negative number, we actually add its positive value. In this case, the line has a positive slope of 2, meaning it rises quite steeply as we move from left to right. For every 1 unit we move horizontally, the line rises by 2 units. Can you visualize how steep this line would be on the graph?

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