SOLUTION: Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (−1, 9), midpoint: (−9, −10)
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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(39617) (Show Source): You can put this solution on YOUR website!
Other endpoint, (x,y)
Solve each.
Answer by greenestamps(13198) (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).
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