Answer:
y = 1/10x - 5/2
Explanation:
I think you mean perpendicular to the line y = -10x + 7, and the point is (5, -2).
The slopes of perpendicular lines are negative reciprocals, so the perpendicular line has slope 1/10.
y = mx + b
y = (1/10)x + b
-2 = (1/10)(5) + b
-2 = 1/2 + b
-5/2 = b
y = 1/10x - 5/2