Question

Point A is at (-7,-9) and point M is at (-0.5, -3).

Answer 1

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.

$\frac{(3--9)}{(6--7)}$ = $\frac{12}{13}$ and $\frac{(-3--9)}{(-.5--7)}$ = $\frac{6}{6.5}$ which are both equal to ≈ .923077