Question

What is the slope of a line perpendicular to the line whose equation is 12x-9y=135

Answer 1

Answer:

$\frac{-9}{12}$

Step-by-step explanation:

First, we need to isolate y.

1. Subtract 12x from both sides.

-9y=-12x+135

2. Divide by -9 in order to isolate y.

$y=\frac{12}{9} x-15$

3. Understand that perpendicular equations' slopes are opposite and reciprocal to the original equation. The slope of the original equation is $\frac{12}{9}$, so the reciprocal and opposite (flip and change the sign) slope would be $\frac{-9}{12}$.