Answer
$5x-y=2$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with slope $
5
$ and passing through $(
0,-2
)$ is
\begin{array}{l}
y-(-2)=5(x-0)
\\\\
y+2=5x
\\\\
-5x+y=-2
\\\\
5x-y=2
.\end{array}