Answer
The slope is $\frac{1}{4}$, and the $y-$ intercept is $7$.
Work Step by Step
The given equation is
$\Rightarrow y=\frac{1}{4}x+7$
The slope-intercept form is
$y=mx+b$
Where, slope $=m$ and $y-$intercept is $=b$.
Hence, the slope is $\frac{1}{4}$, and the $y-$ intercept is $7$.