Answer
$y=-\frac{3}{2}x+2$
Work Step by Step
$3y=2x-1$
$y=\frac{2}{3}x-\frac{1}{3}$
The slope of the new line is the negative reciprocal of $\frac{2}{3}$: $-\frac{3}{2}$.
Use point slope form:
$y-8=-\frac{3}{2}(x+4)$
$y=-\frac{3}{2}x-6+8$
$y=-\frac{3}{2}x+2$