Lesson 10
Calculating Slope
Let’s calculate slope from two points.
Problem 1
For each graph, calculate the slope of the line.
![3 graphs of lines labeled A, B, C.](https://cms-im.s3.amazonaws.com/BJ9792zAz8qER8SBDjirYJLo?response-content-disposition=inline%3B%20filename%3D%228-8.3.C10.PP.3graphs.png%22%3B%20filename%2A%3DUTF-8%27%278-8.3.C10.PP.3graphs.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T004257Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=8f3ff678c2c02b35f0e499a56cec6a75d0aefa45f810026add746c2d93ec6588)
Problem 2
Match each pair of points to the slope of the line that joins them.
Problem 3
Draw a line with the given slope through the given point. What other point lies on that line?
![Coordinate grid with points A, B, C, D, E, F plotted.](https://cms-im.s3.amazonaws.com/QUnGju6aRPpieypRWZmTccgt?response-content-disposition=inline%3B%20filename%3D%228-8.3.C10.PP.graph1.png%22%3B%20filename%2A%3DUTF-8%27%278-8.3.C10.PP.graph1.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T004257Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=6f106025959cf4a917864c3a5b3bb77465130922ef76eae7e5421bfa6276bb91)
- Point A, slope = \(\text-3\)
- Point A, slope = \(\frac {\text{-}1}{4}\)
- Point C, slope = \(\frac {\text{-}1}{2}\)
- Point E, slope = \(\frac {\text{-}2}{3}\)
Problem 4
Make a sketch of a linear relationship with a slope of 4 and a negative \(y\)-intercept. Show how you know the slope is 4 and write an equation for the line.