Answer:
y = x + 15
Explanation:
The given line's equation is in slope-intercept form. The slope is the coefficient of x, -1. The slope of a perpendicular line will be the negative reciprocal of that:
-1/(-1) = 1
Using the hint with the given point, the desired line has the equation ...
y -10 = 1(x -(-5))
y = x + 15 . . . . . . . add 10 and simplify