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Point A is located at (4, 9) and point B is located at (12, -5).  What are the coordinate sof the point that partitions the directed line segment AB in a 1:3 ratio?

 Mar 12, 2018
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We have  4 equal divisions.....so we are looking for the point that is 1/4 the distance between AB in that direction...so we have...

 

 

( 4  + [ 12 - 4] (1/4), 9 + [ -5 - 9] (1/4) )   =

 

( 4 +  (8)(1/4), 9 + (-14)(1/4) )  =

 

( 4 + 2,  9 - 14/4 )  -

 

(6,  9 - 7/2 )

 

(6, 11/ 2 )

 

 

cool cool cool

 Mar 12, 2018

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