Answer
$\text{Slope: }
-\dfrac{2}{7}
\\\\\text{$y-$intercept: }
5$
Work Step by Step
Using $y=mx+b$ where $m$ is the slope and $b$ is the $y-$intercept, then the equation $
y=-\dfrac{2}{7}x+5
$ has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Slope: }
-\dfrac{2}{7}
\\\\\text{$y-$intercept: }
5
.\end{array}