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

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

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Answer 1 · 2017-09-06T03:59:06

point B is $(14, - 4)$ $(14, -4)$

Explanation:

mid point, $(x, y) = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ $(x , y) = ((x_1 +x_2)/2, (y_1 + y_2)/2)$ where point A, $(x_{1}, y_{1})$ $(x_1 , y_1)$ and B, $(x_{2}, y_{2})$ $(x_2 , y_2)$

therefore,
$\frac{- 4 + x_{2}}{2} = 5 and \frac{- 6 + y_{2}}{2} = - 5$ $(-4 + x_2)/2 = 5 and (-6 + y_2)/2 = -5$

$- 4 + x_{2} = 10 and - 6 + y_{2} = - 10$ $-4 + x_2 = 10 and -6 + y_2 = -10$

$x_{2} = 10 + 4 = 14 and y_{2} = - 10 + 6 = - 4$ $x_2 = 10 + 4 = 14 and y_2 = -10 + 6 = -4$

point B is $(14, - 4)$ $(14, -4)$

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

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