How to find the point on a parabola where x and y are equal? On a parabola how could i find the point at which the y and x points are equal and meet on a point of the graph, algebraically?
Substitute $x$ for $y$ in the parabola equation and solve for $x$.
Replace x with y or y with x and solve for the unknown variable. Then, the value you get will be valid for x=y.