Respuesta :
Answer:
(6,3)
Step-by-step explanation:
You can solve this by looking at the x and y coordinates independently.
The distance between -7 and -0.5 is 6.5.
The distance between -9 and -3 is 6.
Since point M is the midpoint, the distances between point A and point M should be the same, so you can literally just add the distances to the midpoint to find the other endpoint. This means that point B is located at (-0.5+6.5, -3+6) or (6, 3).
To check your work you can test the slope of the line and see that it is consistent from points A to B and from A to M.
[tex]\frac{(3--9)}{(6--7)}[/tex] = [tex]\frac{12}{13}[/tex] and [tex]\frac{(-3--9)}{(-.5--7)}[/tex] = [tex]\frac{6}{6.5}[/tex] which are both equal to ≈ .923077
