Plz fast what are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

(-3,-4) (3, 0)
slope = (0 +4) / (3 + 3) = 4/6 = 2/3
perpendicular so slope = -3/2

line on graph
y = mx + b
0 = 2/3 (3) + b
0 = 2+ b
b = -2

y intercept (0,-2)

answer 
The slope is -3/2 and contains the point (0, −2). 

A. is the answer in this question