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September 4th, 2018, 12:03 AM   #1
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Analytical Geometry

The perpendicular bisector of the line AB is 3y - 2x - 4 = 0.
If A is the point (6,5), find B's coordinates.

Last edited by skipjack; September 4th, 2018 at 04:55 AM.
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September 4th, 2018, 01:01 AM   #2
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What is the slope of the line:

$\displaystyle 3y-2x-4=0$
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September 4th, 2018, 01:54 AM   #3
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m=2/3
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September 4th, 2018, 05:15 AM   #4
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Correct. That implies that AB has slope -3/2.

Hence AB has equation 2y + 3x = 2*5 + 3*6 = 28.

The coordinates (x, y) = (76/13, 68/13) satisfy both equations, so they are the coordinates of the mid-point of AB.

Can you now find the coordinates of B?
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September 4th, 2018, 07:07 AM   #5
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Yes.
Since
2M-A=B
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