Question

The midpoint of segment CD is M(-3, -7). If the coordinates of C are (-2, -10), what are the coordinates of D

Answer 1

Answer: (-4, -4)

Explanation:

`M_(x) = \frac{X_(C)+X_(D)} {2}`
`M_(y) = \frac{Y_(C)+Y_(D)} {2}`

`2M_(x) = {X_(C)+X_(D)`
`2M_(y) = {Y_(C)+Y_(D)`

2(-3) = -2 + X 2(-7) = -10 + Y

-6 = -2 + X -14 = -10 + Y

+2 +2 +10 +10

-4 = X -4 = Y