|  | 
| 
 
 
| Question 392510:  If one end point of a line segment is (-6,4), and the midpoint of the segment is (-2,7), how do you find the other end point?
 Found 2 solutions by  stanbon, Alan3354:
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! If one end point of a line segment is (-6,4), and the midpoint of the segment is (-2,7), how do you find the other end point? ---------------
 The coordinates of the midpoint are the average of the
 corresponding coordinates of the endpoints.
 ===============================================
 Your Problem:
 Let the other endpoint be (x,y)
 ---
 Solve:
 (-6+x)/2 = -2
 -6+x = -4
 x = 2
 -------------
 (4+y)/2 = 7
 4+y = 14
 y = 10
 ---
 Other endpoint: (2,10)
 ==============
 Cheers,
 Stan H.
 
Answer by Alan3354(69443)
      (Show Source): 
You can put this solution on YOUR website! If one end point of a line segment is (-6,4), and the midpoint of the segment is (-2,7), how do you find the other end point? ---------------------
 Find x and y separately.
 x: -6 to -2 = 4 units
 Add 4 units to the midpoint --> -2 + 4 = +2
 y: 4 to 7 = 3 units.
 7 + 3 = 10
 --> (2,10)
 
 | 
  
 | 
 |  |  |