#### Answer

y=$\frac{-3}{2}$x-1

#### Work Step by Step

(-4,5), perpendicular to 2x-3y=6
2x-3y=6
-3y=-2x+6
y=$\frac{x}{y}\frac{-2x+6}{-3}$
y=$\frac{2}{3}$x -2 slope $\frac{2}{3}$
line perpendicular has slope -$\frac{3}{2}$,through(-4,5)
y=mx+b
5=$\frac{-3}{2}$(-4)+b
5=6+b
5-6=b
b=-1
y=mx+b
y=$\frac{-3}{2}$x-1