Aline segment has (x1,y1) as one endpoint and (xm, ym) as its midpoint. find the other endpoint (x2,y2)of the line segment in terms of x1,y1,xm, and ym.

A line segment has (x1, y1)as one endpoint and (xm, ym)as its midpoint.

Use the formula? (x2, y2) = (2xm − x1, 2ym − y1) to find the coordinates of the endpoint of a line segment if the coordinates of the other endpoint and midpoint are (1, 8), (−3, −1) and (−7, 16), (3, 6),respectively.
 
(a) Endpoint: (1, 8), (−3, −1) (x2, y2) = ( , )
(b) Midpoint: (−7, 16), (3, 6) (x2, y2) = ( , )
           

ANSWER a) (x2,y2) = (2x-x1, 2y-y1) for midpoints m = 1 = {(2(-3)-1), (2(-1)-8)} = (-7,-10)

Answer  b) (x2,y2) = (2x-x1, 2y-y1) for midpoints m = 1 = {(2(3)+7), (2(6)+16)} = (13,28)