SOLUTION: Find an equation for the set of points in an xy-plane that are equidistant from the point P(0,5) and the line L (y= -3). Can someone help me out with this please?

Algebra ->  Trigonometry-basics -> SOLUTION: Find an equation for the set of points in an xy-plane that are equidistant from the point P(0,5) and the line L (y= -3). Can someone help me out with this please?      Log On


   

Question 896260: Find an equation for the set of points in an xy-plane that are equidistant from the point P(0,5) and the line L (y= -3).
Can someone help me out with this please?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Variable point (x,y) use in Distance Formula.
The line L is also a variable point, (x,-3).

sqrt%28%28x-0%29%5E2%2B%28y-5%29%5E2%29=sqrt%28%28x-x%29%5E2%2B%28y-%28-3%29%29%5E2%29
sqrt%28x%5E2%2B%28y-5%29%5E2%29=sqrt%28%28y%2B3%29%5E2%29
x%5E2%2B%28y-5%29%5E2=%28y%2B3%29%5E2
x%5E2%2B%28y-5%29%5E2-%28y%2B3%29%5E2=0
x%5E2%2By%5E2-10y%2B25-%28y%5E2%2B6y%2B9%29=0
x%5E2-16y%2B16=0
-16y=-x%5E2-16
highlight%28y=%281%2F16%29x%5E2%2B1%29