Determine the equation of the locus of a point which moves so that its distance from P(5,2) is two-thirds its distance from the x-axis.
Please help me solve this problem and show the solution... Thanks!
Hint: a parabola is the locus of points that are equidistant from a point (the focus) and a line (the directrix). I'd advise you to research how to find the equation of a parabola using the focus and directrix.