SOLUTION: A line segment has (-3, -8) as one end point and (1, -2) as the midpoint. What are the coordinates of the other end point?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A line segment has (-3, -8) as one end point and (1, -2) as the midpoint. What are the coordinates of the other end point?      Log On


   

Question 1022093: A line segment has (-3, -8) as one end point and (1, -2) as the midpoint. What are the coordinates of the other end point?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The midpoint is the average of the x and y values.
x%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2
1=%28-3%2Bx%5B2%5D%29%2F2
2=-3%2Bx%5B2%5D
x%5B2%5D=5
Similarly for y,
-2=%28-8%2By%5B2%5D%29%2F2
-4=-8%2By%5B2%5D
y%5B2%5D=4
(5,4)