Geometric places of the plane

A geometric place, or locus, is a set of points in the plane that verify a property.

For example, the perpendicular bisector of a segment is the geometric place of all points that are equidistant of its extremes.

Example: find the equation of the perpendicular bisector of the segment AB, if A(1,1) and B(3,-2)

Exercise: find the equation of the perpendicular bisector of the segment AB, if A(3,-3) and B(8,-3)

Solution: x-11/2 = 0