The line is parallel, so the slope must be the same.
Use the slope line formula to find the slope and substitute the points of Line A.
-2-(-8) / 1-(-7)
The slope is -5/4.
Now, use y = mx + b to find the the equation for Line B.
Substitute the known and solve for the y-intercept.
-6 = -5/4(4) + b
b = -1
The equation of B is:
y = -5/4x - 1
You can check it's true by plugging in the equation in a graphing calculator. Hope this helps.