Answer:
[tex]y=-4x-2[/tex]
Step-by-step explanation:
The line given in the problem is:
[tex]y=-4x+1[/tex]
A line is expressed in the form
[tex]y=mx+q[/tex]
where
m is the slope of the line
q is the y-intercept of the line
In the line above, therefore,
m = -4 is the slope
q = +1 is the y-intercept
Two lines are said to be parallel if they have the same slope. Therefore, in order to write a line that is parallel to the previous one, we just need to write a line that has a slope of
m = -4
Therefore, for example, we can write:
[tex]y=-4x -2[/tex]
