9514 1404 393
Answer:
C. 8
Step-by-step explanation:
The median from vertex B is the line segment between there and the midpoint of side AC. That midpoint is ...
D = (A +C)/2 = ((-6, 7) +(-2, -9))/2 = (-8, -2)/2 = (-4, -1)
So, we want the length of the line between (-4, -1) and (4, -1). These points are on the same horizontal line (y=-1), so the length is the difference of the x=coordinates:
median AD = 4 -(-4) = 8 . . . . units in length