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Let A = (2,3) and B = (-4,15).  Find the point P on line segment AB such that AP:PB = 3:5.

 Aug 3, 2020
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We want to go  3 /(3+5)  = 3/8  of the way from A to B

 

x:   from  2 to -4    is  -6         3/8  * -6    + 2 = ..........

y:   from 3 to 15   is +12        3/8 * 12     + 3 = ..........

 Aug 3, 2020

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