Question

Please help me answer this with an explanation

Answer 1

You need to find the slope first. (-9,-4). (3,4)

-4-4= -8
-9-3 =-12. Slope is -8/-12 or 8/12 or 2/3


Perpendicular is the negative reciprocal. Or flip over the 2/3 and make it negative.

The answer is - 3/2

Answer 2

The change in y as we move from the first point to the second is 8, and the corresponding change in x is 12.  Thus, the slope of the line thru these two points is 8/12, or 2/3 (answer C).