Answer
$3x-y=-14$
Work Step by Step
Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with slope $3$ and passing through $(-3,5)$ is
\begin{array}{l}
y-5=3(x-(-3))
\\\\
y-5=3(x+3)
\\\\
y-5=3x+9
\\\\
-3x+y=9+5
\\\\
-3x+y=14
\\\\
3x-y=-14
.\end{array}