It's a Math question, yes for college. I know I hate it too -.-

Question

The line conttains the point(-2,1) and is perpendicular to a line with a slope of 3/2.

The equation of the line is:

Answer 1

The slope of the perpendicular line must be the negative reciprocal, so

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

In point-slope form, the equation is

y - y₁ = m(x - x₁)

x₁ = -2

y₁ = 1

m = -2/3

Plug these numbers into the point-slope equation.