Answer
$y=\frac{1}{2}x+5$
Work Step by Step
The given line has a slope of $\frac{1}{2}$ and goes through the point (-6,2).
We can write this line in point-slope form $y-y_{1}=m(x-x_{1})$ with $m=\frac{1}{2}$ and $(x_{1},y_{1})=(-6,2)$.
$y-2=\frac{1}{2}(x+6)=\frac{1}{2}x+3$
Add 2 to both sides.
$y=\frac{1}{2}x+5$
This line is now in the slope-intercept form of $y=mx+b$.