Exercise 5 Page 141

Observing the given graph, we can see that the line passes through the points (-3,1) and (2,-2), creating a negative slope. One way to use a graph to find the slope of a line is to 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 -3. Similarly, the run, or change in x, is 5. slope=rise/run ⇔ m=-3/5=- 3/5 We can confirm this answer by using the Slope Formula. m = y_2-y_1/x_2-x_1 In the above equation, (x_1,y_1) and (x_2,y_2) represent two points on the line. Let's substitute them by (- 3,1) and (2,- 2).

We obtained the same slope as before. We can be sure the slope is - 35.