Write and equation of a line parallel to y=-5x+2, and through (-1,4). show ur work

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

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