Question

No deF-10-64...6810-2-4-6-8+-10OAy =-20 +53x + 2OB.y =Ос.y = -21 - 3ODv = 21 - 62021 Edmentum. All rights reserved.

Answer 1

The first thing to take into account is that the product of the slopes of two perpendicular lines lays -1. This means we need the slope of line FG. This slope is given by:

`(F_y-G_y)/(F_x-G_x)=(1-8)/(-5-9)=(1)/(2)`

If the slope of FG is 1/2 then the slope "m" of a perpendicular line is given by:

`\begin{gathered} -1=m\cdot(1)/(2) \\ m=-1\cdot2=-2 \end{gathered}`

So the perpendicular line must have a slope of -2 and the only option that shows a line with that slope is option C.