Answer:
y = -1/3 x+9
Explanation:
First find the slope between the two points
m = ( -1 -8)/(2 - 5)
-9/-3
=3
We want a line that is perpendicular so it is the negative reciprocal
-1 /(3)
The slope of the perpendicular line is -1/3
y= mx+b where m is the slope and b is the y intercept
y = -1/3x+b
We have a point of (6,7)
7 = -1/3 (6) +b
7 = -2 +b
Add 2 to each side
7 +2 = -2+b+2
9 = b
The equation of the line is y = -1/3 x+9