The midpoint of AB is at (5,-5) If A = (-4, -6), what is B?

Sep 6, 2017

point B is $\left(14 , - 4\right)$

Explanation:

mid point, $\left(x , y\right) = \left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right)$ where point A, $\left({x}_{1} , {y}_{1}\right)$ and B, $\left({x}_{2} , {y}_{2}\right)$

therefore,
$\frac{- 4 + {x}_{2}}{2} = 5 \mathmr{and} \frac{- 6 + {y}_{2}}{2} = - 5$

$- 4 + {x}_{2} = 10 \mathmr{and} - 6 + {y}_{2} = - 10$

${x}_{2} = 10 + 4 = 14 \mathmr{and} {y}_{2} = - 10 + 6 = - 4$

point B is $\left(14 , - 4\right)$