SOLUTION: What are the coordinates of an endpoint of a segment if the other endpoint has the coordinates (-6,2) and the midpoint of the segment has the coordinates (2,3)? show solution.

Algebra ->  Length-and-distance -> SOLUTION: What are the coordinates of an endpoint of a segment if the other endpoint has the coordinates (-6,2) and the midpoint of the segment has the coordinates (2,3)? show solution.      Log On


   



Question 1002864: What are the coordinates of an endpoint of a segment if the other endpoint has the coordinates (-6,2) and the midpoint of the segment has the coordinates (2,3)? show solution.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Midpoint formula:
(x1 + x2)/2 , (y1 + y2)/2
(-6 + x)/2 , (2 + y)/2
(-6 + x)/2 = 2
Cross multiply
(-6 + x) = 4
x = 4 + 6
x = 10
(2 + x)/2 = 3
Cross multiply
(2 + y) = 6
y = 6 - 2
y = 4
Coords of endpoint = (10,4)
Hope this helps :-)