Answer
$y = \frac{1}{2}x - 5$
Work Step by Step
If we are given the slope and the y-intercept of a line, then we can use the slope-intercept form to express the equation of the line. The slope intercept form is given by the formula:
$y = mx + b$,
where $m$ is the slope of the line and $b$ is the y-intercept of the line.
Let us plug in our values into the formula. We have a slope of $\frac{1}{2}$ and a y-intercept of $-5$:
$y = \frac{1}{2}x - 5$
This is the equation of our line in slope-intercept form.