Question

What is the slope of the line perpendicular to the line `y = 2/3x - 12`?

Answer 1

I found: slope`=-3/2`

Explanation:

The slope `m_1` of the perpendicular to a line of slope `m` will be:
`m_1=-1/m`
In your case the given line has slope `m=2/3` (the coefficient of `x`), so the perpendicular will have slope:
`m_1=-3/2`