[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
Parallel lines have the same slope.
We are given the equation of one line: y=-2x+1
Its slope is -2.
The line parallel to the given line has a slope of -2 as well.
Now, we have the slope of the line and a point that it intersects.
All we have to do is use Point-Slope Form:
y-y1=m(-x1)
y-1=-2(x-4)
y-1=-2x+8
y=-2x+9
Therefore, that's the equation of the line.
[tex]\huge\boxed{\bf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex][tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
