Question

What is the slope of a line that is perpendicular to the line 2y – 3x = 8?

Answer 1

Answer:

$\frac{-2}{3}$

Step-by-step explanation:

2y - 3x = 8

2y = 3x + 8

y = $\frac{3}{2}$ x +4  

It is similar to y = mx + b

Therefore m = $\frac{3}{2}$

To check whether a line has perpendicular slope we check the product of the slopes to be -1.

The perpendicular slope is $\frac{-2}{3}$