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Find the point P that partitions the line segment AB given the ratio. A (3, 6) B(-4, 3) with the ratio 2:7

 Jun 8, 2021
 #1
avatar+34315 
+3

2:7   means the line can be divided into   2+7 = 9 segments

 

from   3 to -4   is    -7         2 out of 9 segments would be    -7 * 2/9 added to  3 = 13/9 = 1 4/9 = x

          6 to 3    is -3            2 out of 9 segments would be     -3 * 2/9 added to 6  = 5 1/3 = y

 Jun 8, 2021
 #2
avatar+121054 
+2

P  =   

 

( 3  +  (2/9) (-4 - 3)  ,   6  +  (2/9) ( 3 - 6)  )  =

 

(3  - 14/9  ,  6 -  6/9)  =

 

(  27/9 - 14/9 ,  18/3 - 2/3)  =

 

(13/9 , 16/3)

 

 

cool cool cool

 Jun 8, 2021

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