Question

What is the slope of a line that is perpendicular to `-2x -3y =0`?

Answer 1

`3/2`

Explanation:

We first solve for `y` so that we rewrite the equation of this line in `y=mx+b` form where `m` is the slope and `b` is the `y`- intercept

So `-2x-3y=0` becomes

`-3y=2x`

`y=-2/3x`

In this equation `-2/3x` is our `m` or slope so to find the slope perpendicular to the line we must apply the following:

Perpendicular Slope `=-1/m=-1/(-2/3)=3/2`

So the slope perpendicular to `y=-2/3x` is `3/2`