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what are the coordinates for point \(c\) Express your answer as an ordered pair.

 Dec 8, 2020
 #1
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To get the point that divides AB so that AP:PB = r, you multiply the coordiantes of A by r and the coordinates of B by 1 - r, and add them.  For example, for r = 1/2, you just take the average of the coordinates of A and the coordinates of B.

 

So for point C, we take r = 1 + 1/3 = 4/3.  So

C = 4/3 (2,-2) + (-1/3) (14,4) = (-2,-4).

 Dec 8, 2020
 #2
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Thanks for trying but the answer is (18,6)

 Dec 8, 2020

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