Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint.

Question

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.)

midpoint

​(−5​,9​),

endpoint

​(−2​,5​)

Answer 1

(-8, 13) is the other end point. (-2-8)/2 = -10/2 = --5 = x coordinate of the midpoint

(13+5)/2 = 18/2 = 9 = y coordinate of the midpoint

the midpoint has x and y values that are the average of the end points' values