Exercise 13 Page 298

Observe the graph. Think of two different ways to find the slope.

Practice makes perfect

By observing the given graph, we can see that the line passes through the points (0,- 2) and (1,2). 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 4. We can also see that the run, or change in x from left to right, is 1. slope=rise/run ⇔ m=4/1 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,- 2) & ( 1,2)

m=2-(- 2)/1- 0

SubNeg

a-(- b)=a+b

m=2+2/1-0

AddSubTerms

Add and subtract terms

m=4/1

DivByOne

a/1=a