SOLUTION: What's the other endpoint of the segment with the given endpoint and midpoint? Endpoint: (-9,-1/2) Midpoint: (6,-3 1/2)

Algebra ->  Length-and-distance -> SOLUTION: What's the other endpoint of the segment with the given endpoint and midpoint? Endpoint: (-9,-1/2) Midpoint: (6,-3 1/2)      Log On


   

Question 1048718: What's the other endpoint of the segment with the given endpoint and midpoint?
Endpoint: (-9,-1/2) Midpoint: (6,-3 1/2)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let ( x,y ) = the unknown endpoint
+%28+x+%2B%28-9%29+%29+%2F+2+=+6+
+%28+x+-+9+%29%2F2+=+6+
+x+-+9+=+12+
+x+=+21+ ( x-coordinate )
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+%28+y+%2B+%28-1%2F2+%29%29+%2F+2+=+-3.5+
+%28+y+-+1%2F2+%29+%2F+2+=+-3.5+
+y+-+1%2F2+=+-7+
+y+=+-6.5+ ( y-coordinate )
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The endpoint is ( 21, -6.5 )