Answer:
GF where G is at (6,5) and F is at (10,2)
Explanation:
Perpendicular lines always have the negative reciprocal as the other line as their slope. This is such that (1/3) × (-3/1) = -1, so -3/1 is the negative reciprocal to 1/3.
This means we are looking for a line with the slope -3/4, and we can find the slopes by using the formula (y2 - y1)/(x2 - x1).
For the first option, LM, we get (9 - 3)/(-10 - 2) = 6/-12 = -1/2, so it is not this.
For the second option, GF, we get (2 - 5)/(10 - 6) = -3/4, which is the slope we were looking for. This means that the second option is our answer.
I hope this helps!