Answer
$ y = 5x + 17$
Work Step by Step
Equation for tangent line to $f$ at $x=a$:
$y - f(a) = f'(a)(x-a)$
So, if $a = -3, f(a) = f(-3) = 2$, and $f'(a) = f'(-3) = 5$, then
$y - 2 = 5(x-(-3)) \iff y = 5x + 17$
is the tangent line to $f$ at $x=-3$.