Answer
$y=5x+7$
Work Step by Step
Using $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept, then the equation of the line with the given slope equal to $
5
$ and the given $y-$intercept equal to $(
0,7
)$, is
\begin{array}{l}
y=5x+7
.\end{array}