Question 705313
You are correct that the line perpendicular to y = -2/3x + 2 has the slope m = 3/2.
So the equation for this line is y = 3/2 x + b.
Now use the point on the line (9,-3) to find the y-intercept, b.
-3 = (3/2)9 + b
b = -3 - 27/2 = -33/2
So the equation is y = (3/2)x - 33/2