Question

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

Answer 1

`= (3)/(2)`

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 \\ (2y)/(2) = (8 + 3x)/(2) \\ y = 4 + (3x)/(2) \\ y = (3x)/(2) + 4`

So, the slope is,

`= (3)/(2)`