Answer
$y=3x-2$
Work Step by Step
The given point is $(-2,-8)$.
The given equation of the line is
$\Rightarrow y=3x-1$
Slope of the line is $m=3$.
Slope of the parallel line is $m=3$.
The slope-intercept form is
$\Rightarrow y=mx+b$
Substitute $3$ for $m,-2$ for $x,$ and $-8$ for $y$.
$\Rightarrow -8=-3(-2)+b$
Simplify.
$\Rightarrow -8=-6+b$
Add $6$ to each side.
$\Rightarrow -8+6=-6+b+6$
Simplify.
$\Rightarrow -2=b$.
The equation of the parallel line is
$\Rightarrow y=3x-2$.
