m1xm2=-1
so
y=mx+c
-2y=-3x+6
2y=3x-6
y=3/2x-3
So the gradient of the perpendicular would be
m= -2/3
find the x and y
y=3/2(0)-3
=-3
(0)=3/2x-3
x=2
So
Substitute them all into
y=mx+c
-3=-2/3(2)+c
c=-5/3
So
y=-2/3x-5/3
I might have made mistakes since I typed this so recheck if you can