Question

A line is shown in the graph below.

What is the slope of a line that is perpendicular to the given line?

-3/2

-2/3

2/3

3/2

Answer 1

3/2

Explanation:

mm,m

Answer 2

-3/2

Explanation:

One can read off the slope of the given line directly from the graph. As x increases by 3, y increases by 2. Thus, the slope of the given line is

m = rise / run = 2 / 3

Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:

-1 3

Slope of perpendicular line = ------------ = - -----

2/3 2

This matches the first of the given possible answer choices.