to find the slope of given line rearrange it to the general for y == mx + b:-
2y = 5x + 10
y = (5/2)x + 5
So the slope of the required line will be -(2/5) and can be written
y = (-2/5) x + b
we are given that x = -2 and y = 8 ( the given point) so findin b::-
8 = (-2/5) (-2) + b
8 = 4/5 + b
b = 8 - 4/5 = 36/5
y = (-2/5) x + 36/5
multiply thru by 5
5y = -2x + 36
2x + 5y = 36
It's C