Answer
$y+2=2(x+1)$
Work Step by Step
We first find the slope. The equation for slope is: $ \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Thus, we obtain:
$\frac{4-(-2)}{2-(-1)}=\frac{6}{3}=2$
Recall, the equation for point slope form is the following: $y- y_{1}=m(x - x_{1})$, where $(x_{1} , y_{1})$ is a point on the line and m is the slope of the line. Thus, we plug -1 in for $x_{1}$, -2 in for $y_{1}$, and 2 in for m to obtain the answer: $y+2=2(x+1)$