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

Algebra ->  Coordinate-system -> 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      Log On


   

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) About Me  (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.

sqrt%28%280-2%29%5E2%2B%28y-7%29%5E2%29=sqrt%28%280-8%29%5E2%2B%28y-3%29%5E2%29
Simplify and solve for y.