Answer
Slope: $\frac{1}{5}$
$y$-intercept: $3$
Work Step by Step
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 definition to find the slope and $y$-intercept of $y=\frac{1}{5}x+3$
Since $\frac{1}{5}$ takes the place of $m$, it is the slope.
Since $3$ takes the place of $b$, it is the $y$-intercept.
