Answer
$y+2=-(x-4)$
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:
$\frac{-2-(-6)}{4-8}=\frac{4}{-4}=-1$
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 4 in for $x_{1}$, -2 in for $y_{1}$, and -1 in for m to obtain the answer: $y+2=-(x-4)$
