Question

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

Answer 1

Rewrite the equation into slope intercept form then use the fact that a line has a slope of `m` then all perpendiculars to it will have a slope of `-1/m`

Explanation:

`3x+2y = -6`

`2y = -3x-6`

`2y = -3(x+2)`

`y = -3/2(x- (-2))` `color(white)("XXXX")`slope intercept form

Any line perpendicular to this will have a slope of `2/3`