SOLUTION: The point (3, y) is equidistant from the point (10, 3) and (-5, -1). Find the value of y.

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Question 727251: The point (3, y) is equidistant from the point (10, 3) and (-5, -1). Find the value of y.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The point (3, y) is equidistant from the point (10, 3) and (-5, -1). Find the value of y.
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From (3,y) to (10,3):
d%5E2+=+%28y-3%29%5E2+%2B+%283-10%29%5E2%29+=+y%5E2+-+6y+%2B+58
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From (3,y) to (-5,-1):
d%5E2+=+%28y%2B1%29%5E2+%2B+%283%2B5%29%5E2%29+=+y%5E2+%2B+2y+%2B+65
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From (3,y) to (10,3):
y%5E2+%2B+2y+%2B+65+=+y%5E2+-+6y+%2B+58
8y = -7
y = -7/8
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Another approach:
Find the perpedicular bisector of the line between the 2 points, then find y when x = 3.