SOLUTION: A line segmemt has 2 end points M(3,7) and N (11,-6). find coordinates of point W that lies in yaxis such that W is equidistant (same distance) from M and from N

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Question 1127185: A line segmemt has 2 end points M(3,7) and N (11,-6). find coordinates of point W that lies in yaxis such that W is equidistant (same distance) from M and from N
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
M( 3,7 )
N( 11, -6 )
Point W is on the y-axis, so the point is
( 0, y )
The distance squared from M to W is:
+%28+0+-+3+%29%5E2+%2B+%28+y+-+7+%29%5E2+
The distance squared from N to W is:
+%28+0+-+11+%29%5E2+%2B+%28+y+-%28-6%29+%29%5E2+
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Set the distances equal to each other
+%28-3%29%5E2+%2B+%28+y+-+7+%29%5E2+=+%28-11%29%5E2+%2B+%28+y+%2B+6+%29%5E2+
+%28+y+-+7+%29%5E2+-+%28+y+%2B+6+%29%5E2+=+%28-11%29%5E2+-+%28-3%29%5E2+
+y%5E2+-+14y+%2B+49+-+y%5E2+-+12y+-+36+=+121+-+9+
+-26y+%2B+13+=+112+
+-26y+=+99+
+y+=+-99%2F26+
the point is:
( 0, -99/26 )
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check the math. you can plug result
back into equation