Question

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

Answer 1

Answer:

$= \frac{3}{2}$

Step-by-step explanation:

$y = mx + c$

Here,

m => slope

c => intercept

In this equation ,

$2y - 3x = 8$

to find the value of m or the value of slope we have to solve for y

Let's solve,

$2y - 3x = 8 \\ 2y = 8 + 3x \\ \frac{2y}{2} = \frac{8 + 3x}{2} \\ y = 4 + \frac{3x}{2} \\ y = \frac{3x}{2} + 4$

So, the slope is,

$= \frac{3}{2}$