#### Answer

y=$\frac{2}{3}$x-$\frac{5}{3}$

#### Work Step by Step

3x+2y=5
2y=-3x+5
y=$\frac{-3x+5}{2}$
y=$\frac{-3x}{2}$+$\frac{5}{2}$
y=-$\frac{3}{2}$x+$\frac{5}{2}$, slope is -$\frac{3}{2}$
line is perpendicular, slope is $\frac{2}{3}$ through (-2;-3)
y=mx+b
-3=$\frac{2}{3}$(-2)+b
-3=-$\frac{4}{3}$+b
-3+$\frac{4}{3}$=b
-$\frac{9}{3}$+$\frac{4}{3}$=b
-$\frac{5}{3}$=b
y=mx+b
y=$\frac{2}{3}$x-$\frac{5}{3}$