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A is at (-8,6) and C is at (2,5).  What are the coordiantes of point B on AC such that AB = 2/5*AC?

 Feb 19, 2021
 #1
avatar+31264 
+2

x   from  -8  to  2   is distance of 10      2/5 of this distance added to -8  =  -4

y              6 to  5   is a distance of -1    2/5 of this added to 6                 = 5 3/5

 Feb 19, 2021
 #2
avatar+117978 
+1

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

 

[ -8  + (2/5) (10) ,  6  + (2/5)(-1)  ]  =

 

[-8 + 4 , 6  -  2/5  ]  =

 

( -4 , 28/5)

 

 

cool cool cool

 Feb 19, 2021
edited by CPhill  Feb 19, 2021

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