Exercise 5 Page 157

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.