Envision Math 2.0: Grade 8, Volume 1
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Exercise 5 Page 157

To find the slope of a line, count out the change in x and y.

Slope: - 2
y-intercept: 6

Practice makes perfect

We are given two points and we want to find the slope and the y-intercept of the line that passes through these points. Let's draw this line and count out the change in x and y.

We can see that as the graph travels from left to right, the rise, or change in y, is - 2. Similarly, the run, or change in x, is 1. slope=rise/run ⇔ slope=- 2/1=- 2 Now, we will identify the point where the line intersects the y-axis. The y-coordinate of this point is the y-intercept.

Looking at the graph, we can see that the y-intercept is 6.