Answer
$y=-4x+9$
Work Step by Step
The given point is $(1,5)$.
The given equation of the line is
$\Rightarrow y=-4x+2$
Slope of the line is $m=-4$.
Slope of the parallel line is $m=-4$.
The slope-intercept form is
$\Rightarrow y=mx+b$
Substitute $-4$ for $m,1$ for $x,$ and $5$ for $y$.
$\Rightarrow 5=-4(1)+b$
Simplify.
$\Rightarrow 5=-4+b$
Add $4$ to each side.
$\Rightarrow 5+4=-4+b+4$
Simplify.
$\Rightarrow 9=b$.
The equation of the parallel line is
$\Rightarrow y=-4x+9$.
