Answer
y=-x+8
Work Step by Step
You are given the line y=-x+1 and you have to find the equation of a parallel line.Since the lines are parallel they would have the same slope m=-1.The line goes through (4,4) so just plug in the value into y=mx+b
y=mx+b
4=-1$\times$4+b
4=-4+b
8=b
The y-intercept is 8 and the slope is -1 so the equation is y=-x+8.
