Answer
$y=3x+7.$
Work Step by Step
We know that two non-vertical lines are parallel if their slopes are equal. Hence here $m=3$
We know that if the slope of a line is $m$ and it contains $P_1(x_1,y_1)$, then its equation is: $y-y_1=m(x-x_1).$
Hence here: $y-1=3(x-(-2))\\y-1=3(x+2)\\y-1=3x+6\\y=3x+7.$