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)

Step-by-step 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