Answer:
-2 =y
Step-by-step explanation:
We can find the slope of the first line
m = (y2-y1)/(x2-x1)
= (2-8)/(-1-6)
= -6/-7
=6/7
Perpendicular lines have negative reciprocal slopes, so flip the slope and negate it
The perpendicular slope is -7/6
-7/6 = (y2-y1)/(x2-x1)
Put in the points
-7/6 = (y-5)/(5--1)
-7/6 = (y-5)/(5+1)
-7/6 = (y-5)/6
The numerators must be equal since the denominators are equal
-7 = y-5
Add 5 to each side
-7+5 = y-5+5
-2 =y
