# The midpoint of a segment is (-8, 5). If one endpoint is (0, 1), what is the other endpoint?

Jan 10, 2017

(-16, 9)

#### Explanation:

Call AB the segment with A(x, y) and B (x1 = 0, y1 = 1)
Call M the midpoint --> M (x2 = -8, y2 = 5)
We have 2 equations:
$x 2 = \frac{x + x 1}{2}$ --> x = 2x2 - x1 = 2(-8) - 0 = - 16
$y 2 = \frac{y + y 1}{2}$ --> y = 2y2 - y1 = 2(5) - 1 = 9
The other end point is A (-16, 9)

$$ .A--------------------------- M --------------------------- B
(x, y)                          (-8, 5)                           (0, 1)