Answer
$y=-2x+7$
Work Step by Step
The given point is $(4,-1)$.
The given equation of the line is
$\Rightarrow y=-2x+7$
Slope of the line is $m=-2$.
Slope of the parallel line is $m=-2$.
The slope-intercept form is
$\Rightarrow y=mx+b$
Substitute $-2$ for $m,4$ for $x,$ and $-1$ for $y$.
$\Rightarrow -1=-2(4)+b$
Simplify.
$\Rightarrow -1=-8+b$
Add $8$ to each side.
$\Rightarrow -1+8=-8+b+8$
Simplify.
$\Rightarrow 7=b$.
The equation of the parallel line is
$\Rightarrow y=-2x+7$.
