What is the equation of the locus of points equidistant from the points (4,2) and (-2,2)?

Explanation

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There are two buoys in a lake.  A scuba diver swims so that he is always equidistant from both buoys.  Describe his path.

Answer

Two houses are 180 feet apart.  The underground electrical cable used to service the houses is to be placed such that the distance from any point on the cable to each home is always the same distance.  Describe where the cable should be placed.

Answer

True or False:  The locus of points equidistant from the points (-1,-3) and (-1,4) is a line whose equation is y = 1/2.