Answer
$y=\frac{1}{2}x-\frac{15}{2}$
Work Step by Step
The line passes through $(0,-\frac{15}{2})$, so that is the $y$-intercept. Since the slope is the rise over the run, we can note that for every $1$ unit rise, the line runs $2$ units. Therefore, our slope is $\frac{1}{2}$, and we can now write our equation in slope-intercept form.
$y=\frac{1}{2}x-\frac{15}{2}$