Answer
$\text{Slope: }
\dfrac{1}{3}
\\\\\text{$y-$intercept: }
7$
Work Step by Step
Using $y=mx+b$ where $m$ is the slope and $b$ is the $y-$intercept, then the equation $
y=\dfrac{1}{3}x+7
$ has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Slope: }
\dfrac{1}{3}
\\\\\text{$y-$intercept: }
7
.\end{array}