Answer
$y-6=\frac{3}{2}(x+6)$
Work Step by Step
The point-slope form of the line is $y-y_{1}=m(x-x_{1})$
Given: $m=\frac{3}{2}$, $(x_{1},y_{1})=(-6,6)$
Substituting the values, we get $y-6=\frac{3}{2}(x-(-6))$
$\implies y-6=\frac{3}{2}(x+6)$