Exercise 25 Page 298

By observing the given graph, we can see that the line passes through the points (- 3,- 3) and (2,- 3). 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 5. slope=rise/run ⇔ m=0/5 ⇔ 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,- 3) & ( 2,- 3)

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

SubNeg

a-(- b)=a+b

m=- 3+3/2+3

AddSubTerms

Add and subtract terms

m=0/5

CalcQuot

Calculate quotient

m=0