Janna Hi! I have two questions involving locuses.Here's the first one: A point P moves such that it is always equidistant from the point G(2,5) and the line defined by y=3. Find the equation of the locus. I got as far as the equation: 3y^{2} 4y = x^{2} + 4x  16 and didn't know what to do from there. Of, course that whole equation could be wrong. Question 2: P is always twice as far from A(8,0) as it is from B(2,0). Find the equation of the locus. Once again, I got as far as y^{2} = x^{2} 8x 56, and got stuck. Thanks for your help! Hi Janna,For your first problem, the distance from the point (x,y) to the line y = 3 is the "vertical" distance from the point to the line. This is the difference between y and 3, that is y  3. The distance from (x,y) to (2,5) is the square root of (x  2)^{2} + (y  5)^{2}. If the point (x,y) is on the locus then these two quantities are equal. Thus For the second problem I think that I can see where you made an error. If (x,y) is on the locus then Harley
