Answer
$y=\frac{1}{2}x+5$
Work Step by Step
We use the points (-2,4) and (6,8) to find the slope:
$m=\frac{8-4}{6-(-2)}$
$=\frac{4}{8}$
$=\frac{1}{2}$
We plug in the slope into the point-slope formula:
$y-y_{1}=m(x-x_{1})$
Using point (6,8):
$y-8=\frac{1}{2}(x-6)$
$y-8=\frac{1}{2}x-3$
$y=\frac{1}{2}x-3+8$
$y=\frac{1}{2}x+5$
