Question

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). P = (5, 6) and M = (8, 2) (11, 10) (11, -2) (13/2, 4)

Answer 1

(11,-2)

Explanation:

Hope it helps.

Answer 2

`\text{The formula of the midpoint of segment AB:}\\\\M(x,\ y)=\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right).\\\\\text{We have the midpoint}\ M(8,\ 2)\ \text{and the endpoint}\ P(5,\ 6).\\\\\text{Substitute:}\\\\(5+x)/(2)=8\qquad\text{multiply both sides by 2}\\\\5+x=16\qquad\text{subtract 5 from both sides}\\\\\boxed{x=11}\\\\(6+y)/(2)=2\qquad\text{multiply both sides by 2}\\\\6+y=4\qquad\text{subtract 6 from both sides}\\\\\boxed{y=-2}\\\\Answer:\ \boxed{(11,\ -2)}`