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