SOLUTION: The points (2,7) and (8,3) are equidistant to a point P on the y-axis. Find this point P. Step-by-step explantions are greatly appreciated so I can throughly understand how to solv

Question 993810: The points (2,7) and (8,3) are equidistant to a point P on the y-axis. Find this point P. Step-by-step explantions are greatly appreciated so I can throughly understand how to solve for these types of problems. Thank you in advance!
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The point P on the y-axis would be some ordered pair (0,y) and you want to solve for y. The initial equation uses The Distance Formula.

The points (2,7) and (8,3) are equidistant to a point P on the y-axis.

Simplify and solve for y.
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