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# Coordinates

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Let the line p be the perpendicular bisector of A = (24, 7) and B = (-3, 4). Given that AB meets p at C = (x, y), what is 2x - 4y.

Jan 30, 2022

#1
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perpendicular bisector passes through midpoint: $$(\frac{24-3}{2}, \frac{7+4}{2}) = (21/2, 11/2)$$

The midpoint is the "C" that the problem is talking about, so 2x - 4y = 21 - 22 = -1.

Jan 30, 2022
edited by CubeyThePenguin  Jan 30, 2022