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# Point A is located at (5, 6) and point B is located at (8, −2) . What are the coordinates of the point that partitions the directed line s

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Point A is located at  (5, 6) and point B is located at (8, −2) .

What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a  1:3 ratio?

viyiwells  Dec 29, 2017
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#1
+85757
+2

What we are looking for is the point that is   1 / (1 + 3)  = 1/4  the distance from A to B

This can be calculated as follows :

[ 5   +  (8 - 5)/4  ,  6  + (-2 - 6)/4  ]  =

[ 5  + 3/4 , 6 +  -8/4  ]

[ 5 + 3/4,  6  - 2 ]

( 23/4,  4 )

CPhill  Dec 29, 2017
#2
+502
+1

@CPhill can we just find the midpoint and divide the answer by 4??

Rauhan  Dec 29, 2017
#3
+85757
0

I didn't think of that approach...but.....we want to find the midpoint  of AB  and then find the midpoint of A  to this calculated midpoint

CPhill  Dec 29, 2017

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