Answer:
y = -5/7x - 32/7
Step-by-step explanation:
Perpendicular slopes are "opposite reciprocals."
7/5 goes to 5/7, then -5/7 (if you don't get it you can comment)
So the perpendicular equation line: y = -5/7x + b (you don't know the y-intercept yet)
Substitute (2, -6) because that perpendicular line is going through it.
-6 = -5/7(2) + b
-6 = -10/7 + b
-42/7 = -10/7 + b
-32/7 = b
Perpendicular line equation: -5/7x -32/7
