Question

Use the graph to answer the question.y5432+1-4 -3 - -345XN1-24-3-4+-5Which line is perpendicular to the line shown on the graph?

Answer 1

Let's calculate the slope of the line with points (0,-1) and (3,1) (taken from the graph)

`m=(y2-y1)/(x2-x1)=(1-(-1))/(3-0)=(1+1)/(3)=(2)/(3)`

Since the slope of the line is 2/3, then the slope of a perpendicular line to it must be found with the formula:

m1*m2 = -1

(2/3)*m2= -1 (Replacing m1=2/3)

m2=-1/(2/3) (Dividing by 2/3 on both sides of the equation)

m2= -3/2 (Dividing fractions)

The answer is the option A, since the slope of that line is equal to -3/2.