Perpendicular to the line 4x-6y+9=0 passing through the point (4,-6) anyone know?

4x-6y+9=0
In standard form this is (solve for y):
y = 2x/3 + 3/2

So, the slope is m=2/3
The slope M of the perpendicular is the negative inverse of the original line's slope:
M = -3/2

The perpendicular is passing through the point (4,-6). Find the y-intercept c. Insert the values of the given point:

-6 = 4 * -3/2 + c
-6 = -6 + 0
The y-intercept is 0 and the equation for the perpendicular is:

y = -3x/2