Answer:
y = -1/5x + 6
Explanation:
First rearrange x + 5y = 10 into y = mx + b format.
x + 5y = 10
5y = -x +10
y = -1/5x + 2
If a line is parallel to y = -1/5x + 2, it must have the same slope (-1/5).
Plug in for y = mx + b
x (x coordinate) = -5
y (y coordinate) = 7
m (slope) = -1/5
Solve for b.
7 = -5(-1/5) + b
7 = 1 + b
b = 6
y = -1/5x + 6 is parallel.