Answer: y=1/5x+8
Step-by-step explanation:
Write the given equation in slope - intercept form:
-5y = -x+15
y = -(1/5)(-x+15)
y = (1/5)x -3.
The given slope is 1/5 and the required slope is -5.
Parallel lines have the same slope as the parent, the line goes through (-5,7) is y = mx+b with (x,y) = (-5,7) and m = 1/5.
7 = 1/5(-5) + b
-1+b=7
b=8
Therefore, the equation of the line is y=1/5x+8
