Answer
$y-2=5x$
Work Step by Step
Recall:
The equation of a line whose slope is $m$ and passes through the point $(x_1, y_1)$ is:
$$y-y_1=m(x-x_1)$$
Thus, the equation of the line whose slope is $5$ and passes through the point $(0, 2)$ is:
\begin{align*}
y-2&=5(x-0)\\
y-2&=5x
\end{align*}