Question

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

Answer 1

point B is `(14, -4)`

Explanation:

mid point, `(x , y) = ((x_1 +x_2)/2, (y_1 + y_2)/2)` where point A, `(x_1 , y_1)` and B, `(x_2 , y_2)`

therefore,
`(-4 + x_2)/2 = 5 and (-6 + y_2)/2 = -5`

`-4 + x_2 = 10 and -6 + y_2 = -10`

`x_2 = 10 + 4 = 14 and y_2 = -10 + 6 = -4`

point B is `(14, -4)`