Answer
$$ y-2 = \frac{3}{2}(x+4)$$
Work Step by Step
We know that point slope form is expressed as $y-y_1=m(x-x_1)$, where $(x_1,y_1)$ is a point on the line, and m is the slope of the line. Using this, we find that the equation of the line is:
$$ y-2 = \frac{3}{2}(x+4)$$