Q:

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

Accepted Solution

A:
Answer:The answer to your question is:    Y = (13, -14)Step-by-step explanation:Datamidpoint = mp = (6, -3)one endpoint = X = (-1, 8)second endpoint = Y = (x, y)FormulaXmp = (x1 + x2) / 2Ymp = (y1 + y2) / 2Process                     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)