Exercise 14 Page 298

By observing the given graph, we can see that the line passes through the points (0,0) and (6,5). 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 tell from the given graph that the rise, or change in y from left to right, is 5. We can also see that the run, or change in x from left to right, is 6. slope=rise/run ⇔ m=5/6 We can confirm this answer by using the Slope Formula. m = y_2-y_1/x_2-x_1 Let's use the given points to solve for the slope.

m = y_2-y_1/x_2-x_1

SubstitutePoints

Substitute ( 0,0) & ( 6,5)

m=5- 0/6- 0

SubTerms

Subtract terms

m=5/6