Answer
$y=\frac{3}{2}x-11$
Work Step by Step
The point-slope form of a line is given as:
$$y-y_1=m(x-x_1)$$
We plug in the given point and slope and solve for $y$:
$$y+2=\frac{3}{2}(x-6)\Longrightarrow y=\frac{3}{2}x-9-2=\frac{3}{2}x-11
.$$