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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.

 Jul 19, 2020
 #1
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2x - 4y = -7.

 Jul 19, 2020
 #2
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If C is half-way between (24, 7) and (3, 4) then it has coordinates ( (24+3)/2, (7+4)/2 )   so x = 27/2  and y = 11/2,

 

Hence 2x - 4y = 27 - 22 = 5

 Jul 19, 2020

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