Answer
$I$
Work Step by Step
A line parallel to $y=5x+2$ will have the same slope of $m=5$.
Use point-slope form using the give point $(1,-3)$
$y-y_{1}=m(x-x_{1})
\\y-(-3)=5(x-1)$
Simplify by distributing the $5$;
$y+3=5x-5$
Isolate the y by subtracting 3 on both sides;
$y=5x-8$
