Answer
Slope: $-\frac{1}{2}$
$y$-intercept: $0$
Work Step by Step
We first must put the equation $y+\frac{1}{2}x=0$ into slope-intercept form.
To do this, we subtract $\frac{1}{2}x$ from both sides of the equation: $y=-\frac{1}{2}x+0$
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 use this to pick out the slope and the $y$-intercept from the equation $y=-\frac{1}{2}x+0$.
Since $-\frac{1}{2}$ takes the place of $m$ in the equation, it is the slope.
Since $0$ takes the place of $b$ in the equation, it is the $y$-intercept.