Answer:
y = 1/4 x - 12.5
Step-by-step explanation:
8x + 2y = -8 (rewrite in y = mx + b form)
2y = -8x -8 (divide both sides by 2)
y = -4x -2 for first line
Perpendicular line L has "opposite/inverse" slope
y = -4x + b becomes y = 1/4 x + b
What's b (the y-intercept)?
Plug the point (2, -12) into the equation y = 1/4 x + b to solve for b
-12 = 1/4 (2) + b
-12 = 1/2 + b (subtract 1/2 from both sides)
-12.5 =b (rewrite equation)
y = 1/4 x - 12.5
