Answer: 5x + 2y = -2
Explanation:
Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6
A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.
Substitute (-2, 4) in and get 4=5+b, so b = -1.
Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.
Hope that helped,
-sirswagger21