1. Find the equation of the locus of point P(x,y) that moves so that it is always 9 units from the point (-1,-1).
2. Find the equation of the locus of a point that moves so that it is equidistant from the points (-4,6) and (2,-7).
3. Find the equation of the locus of a point that moves so that it is equidistant from the point (-5,1) and the line y=3.
4. Find the equation of the locus of point P(x,y) that moves so that it is equidistant from the points (3,2) and (-1,5).
5. Find the equation of the locus of a point that moves so that it is equidistant from the point (2,-3) and the line y=7.