#### Answer

y=-$\frac{3}{2}$x+2

#### Work Step by Step

2x-3y=1
-3y=-2x+1
y=$\frac{-2x+1}{-3}$
y=$\frac{2x}{3}$-$\frac{1}{3}$
y=$\frac{2}{3}$x-$\frac{1}{3}$ slope is $\frac{2}{3}$
line perpendicular,slope is -$\frac{3}{2}$,through (-4;8)
y=mx+b
8=-$\frac{3}{2}$(-4)+b
8=6+b
b=2
y=mx+b
y=-$\frac{3}{2}$x+2