Question

How do you find the slope perpendicular to `2x +3y = 6`?

Answer 1

I found: `3/2`

Explanation:

First find the slope of your given line changing the form of your equation isolating `y` in it:
`y=-2/3x+6/3`
`y=-2/3x+2` which is in the `y=mx+c` form called: Slope-Intercept form;
The slope `m` will be the coefficien of `x`, i.e., `m=-2/3`.
The perpendicular will have slope `m`=-1/m` or:

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