SOLUTION: One endpoint P (1, -3) and the midpoint M (-7, 7) of line segment PQ are given. Find the coordinates of the other endpoint, Q. A) Q (9, -23) B) Q (-13, 15 C) Q (-15, 17)

Algebra ->  Graphs -> SOLUTION: One endpoint P (1, -3) and the midpoint M (-7, 7) of line segment PQ are given. Find the coordinates of the other endpoint, Q. A) Q (9, -23) B) Q (-13, 15 C) Q (-15, 17)       Log On


   

Question 313119: One endpoint P (1, -3) and the midpoint M (-7, 7) of line segment PQ are given. Find the coordinates of the other endpoint, Q.
A) Q (9, -23)
B) Q (-13, 15
C) Q (-15, 17)

Please Help...
Thanks,
Stephanie Jackins
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The distance from the midpoint to P is the same as the distance from the midpoint to Q.
x:P to M, DELTA%2Ax=Mx-Px=-7-1=-8
y:P to M, DELTA%2Ay=My-Py=7-%28-3%29=10
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x:M to Q, Qx=Mx%2BDELTA%2Ax=-7%2B%28-8%29=-15
y:M to Q, Qy=My%2BDELTA%2Ay=7%2B10=17
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Q=(-15,17)
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C) is the correct answer