perpendicular lines have slopes that are negative reciprocals to each other. the given line has a slope of -2/3, so the perpendicular line's slope is positive 3/2. Either C or D
Next, plug in x=-2, y=-2 to see which one works, C or D?
D works.
or:
use the given point to find the intercept:
given the point (-2, -2), and m=3/2, the equation in point slope form:
(y-(-2)=3/2[(x-(-2)]
y+2=(3/2)(x+2)
y=(3/2)x+1
Again, D is the correct answer.
