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