Answer
$y+2=5(x-3)$
Work Step by Step
We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then the point-slope form of the line's equation is:
$y-y_1=m(x-x_1)$
Hence, the point-slope form of the equation of the given line:
$y-(-2)=5(x-3)\\
y+2=5(x-3)$