Answer
$y=\frac{1}{2}x-\frac{1}{2}$
Work Step by Step
The slope-intercept form of a linear equation of a non vertical line is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.
We plug in $m=\frac{1}{2}$ and $b=-\frac{1}{2}$ to this equation to get $y=\frac{1}{2}x+(-\frac{1}{2})$.
We simplify: $y=\frac{1}{2}x-\frac{1}{2}$.
