SOLUTION: The midpoint of a line segment is (-3,4). If one endpoint is (2,-1)determine the coordinates of the other endpoint

Algebra ->  Length-and-distance -> SOLUTION: The midpoint of a line segment is (-3,4). If one endpoint is (2,-1)determine the coordinates of the other endpoint      Log On


   

Question 829590: The midpoint of a line segment is (-3,4). If one endpoint is (2,-1)determine the coordinates of the other endpoint
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope of the line.
Use the formula %28y2-y1%29%2F%28x2-x1%29
So for the point (-3,4), x1=-3 and y1=4
For the point (2,-1) ,x2=2 and y2=-1
Substituting we get
%28%28-1%29-%284%29%29%2F%28%282%29-%28-3%29%29
%28%28-5%29%29%2F%28%282%29%2B3%29
%28%28-5%29%29%2F%285%29
slope = m = -1
x length = |-3-2| = 5
y length = |4-(-1)| = 5
The other endpoint is to the left in this case.
The end point (xn,yn) = (-3-5,4+5)=(-8,9)
So (-8,9) is the other endpoint.
Check tutorLinnWilson.jimdo.com for additional assistance.