Answer
$\text{slope: }
4
,\\\\\text{$y$-intercept: }
7$
Work Step by Step
Using the properties of equality, the given equation, $
-4x+y=7
$, is equivalent to
\begin{array}{l}
y=4x+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}
\text{slope: }
4
,\\\\\text{$y$-intercept: }
7
.\end{array}