Question

The midpoint of segment XY is (6, -3). The coordinates of one endpoint are X(-1, 8). Find the coordinates of endpoint Y.

Answer 1

The answer to your question is: Y = (13, -14)

Explanation:

Data

midpoint = mp = (6, -3)

one endpoint = X = (-1, 8)

second endpoint = Y = (x, y)

Formula

Xmp = (x1 + x2) / 2

Ymp = (y1 + y2) / 2

Process

x2 = 2xmp - x1

y2 = 2ymp - y1

x2 = 2(6) - (-1) y2 = 2(-3) - 8

x2 = 12 + 1 y2 = -6 - 8

x2 = 13 y2 = - 14

Y = (13, -14)