Exercise 12 Page 298

By observing the given graph, we can see that the line passes through the points (0,- 1) and (3,0). 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 1. We can also see that the run, or change in x from left to right, is 3. slope=rise/run ⇔ m=1/3 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,- 1) & ( 3,0)

m=0-( - 1)/3- 0

SubNeg

a-(- b)=a+b

m=0+1/3-0

AddSubTerms

Add and subtract terms

m=1/3