Question 896260
Variable point (x,y) use in Distance Formula.
The line L is also a variable point, (x,-3).


{{{sqrt((x-0)^2+(y-5)^2)=sqrt((x-x)^2+(y-(-3))^2)}}}
{{{sqrt(x^2+(y-5)^2)=sqrt((y+3)^2)}}}
{{{x^2+(y-5)^2=(y+3)^2}}}
{{{x^2+(y-5)^2-(y+3)^2=0}}}
{{{x^2+y^2-10y+25-(y^2+6y+9)=0}}}
{{{x^2-16y+16=0}}}
{{{-16y=-x^2-16}}}
{{{highlight(y=(1/16)x^2+1)}}}