SOLUTION: Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−1, 9), midpoint: (−9, −10)

Algebra ->  Formulas -> SOLUTION: Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−1, 9), midpoint: (−9, −10)      Log On


   

Question 1093733: Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (−1, 9), midpoint: (−9, −10)
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Other endpoint, (x,y)

system%28%28x-%28-1%29%29%2F2=-9%2C%28y-9%29%2F2=-10%29
Solve each.

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!

You don't need to be a slave to magic formulas that you might not understand. Find the answer by logical reasoning.

One endpoint is (-1,9); the midpoint is (-9,-10).

Think of walking along this line segment. You start at x=-1 and get to the midpoint at x = -9, a change of -8; you start at y=9 and get to the midpoint at y=-10, a change of -19.

You have reached the halfway point in you journey by going -8 in the x direction and -19 in the y direction; you will reach the end of your journey (the other endpoint of the line segment) if you go another -8 in the x direction and another -19 in the y direction.

-9 + (-8) = -17; this is the x coordinate of the other endpoint.

-10+ (-19) = -29; this is the y coordinate of the other endpoint.

The other endpoint of the segment is (-17,-29).