Question

Which of the following is perpendicular to y = 2/3x - 2?

A)y = -3/2x + 1 B)y = 3/2x + 2 C) y = 2/3x + 1/2 D) y = 3x + 2

Answer 1

In order for it to be perpendicular, the slope must be the opposite or the slope of the original equation times the slope of the perpendicular equation must equal -1. This is seen in the formula m1xm2=-1 in which m is the slope.

Answer 2

You can find the slope of the perpendicular line can be found by flipping the known slope upside down and making it negative. So, to find the slope of the perpendicular line, flip
`(2)/(3)` upside down (
`(3)/(2)`) and make it negative (-
`(3)/(2)`). Now, find the line that has the slope -
`(3)/(2)`.

The line perpendicular to y =
`(2)/(3)`x - 2 is A) y = -
`(3)/(2)` + 1.