Answer:
[tex]y - 2 = \frac{1}{8}(x +8)[/tex]
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. Since the slope of one line is -8, its perpendicular line will have the slope of 1/8.
Substitute m = 1/8 and (-8,2) into the point slope form of a line.
[tex]y - y_1 = m(x-x_1)\\y - 2 = \frac{1}{8}(x --8)\\y - 2 = \frac{1}{8}(x +8)[/tex]