Exercise 23 Page 298

By observing the given graph, we can see that the line passes through the points (- 3,2) and (3,2). 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 0. We can also see that the run, or change in x from left to right, is 6. slope=rise/run ⇔ m=0/6 ⇔ m=0 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 ( - 3,2) & ( 3,2)

m=2- 2/3-( - 3)

SubNeg

a-(- b)=a+b

m=2-2/3+3

AddSubTerms

Add and subtract terms

m=0/6

CalcQuot

Calculate quotient

m=0