Answer
$\color{blue}{y+2=5(x-3)}$
Work Step by Step
RECALL:
The point-slope form of a line's equation is:
$y-y_1=m(x-x_1)$
where $m$ = slope and the point $(x_1, y_1)$ is on the line.
The given line has a slope of $5$ and contains the point $(3, -2)$.
Substitute these values into the point-slope form equation to obtain:
$y-(-2) = 5(x-3)
\\\color{blue}{y+2=5(x-3)}$