Answer
The slope is $-\frac{1}{2}$, and the $y-$ intercept is $4$.
Work Step by Step
The given equation is
$\Rightarrow 2y+x=8$
Subtract $x$ form each side.
$\Rightarrow 2y+x-x=8-x$
Simplify.
$\Rightarrow 2y=-x+8$
Divide each side by $2$.
$\Rightarrow \frac{2y}{2}=\frac{-x+8}{2}$
Simplify.
$\Rightarrow y=-\frac{1}{2}x+4$
The slope-intercept form is
$y=mx+b$
Where, slope $=m$ and $y-$intercept is $=b$.
Hence, the slope is $-\frac{1}{2}$, and the $y-$ intercept is $4$.