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    IBHardGeometry & Trigonometry7–9

    The Line of Points Equidistant from A and B

    A Reta dos Pontos Equidistantes de A e B

    Two points are A(-2, 1) and B(6, 7). Find the equation of the set of points that are the same distance from A as from B, and decide whether C(5, 0) belongs to it.

    That set is a straight line with two defining properties: it passes through one particular point of the segment and meets it at a particular angle. Each property gives you one of the two things a line equation needs.

    Solution

    Step 1 of 12

    1. 1.Midpoint of AB: