Answer:
y = -5x -1
Step-by-step explanation:
Recall that for a line y=mx+b where m is the slope of the line, the slope of a line which is parallel to this line will also take the same slope m
in this case, y = -5x + 2, we can see that m = -5
for the new point (x1,y1) = (-1,4), we can use the point-slope form of a linear equation
i.e. y - y1 = m(x-x1) ----> substitute values from x1, y1 and m
y - (4) = -5(x-(-1))
y - 4 = -5(x+1)
y - 4 = -5x-5
y = -5x-5 +4
y = -5x -1