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Point P is on the directed line segement from point X(-6, -2) to point Y(6,7) and devided the segement in thre ratio 1:5. What are the coordinates of point P?

 
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Guest Jun 15, 2017
edited by Guest  Jun 16, 2017
edited by Guest  Jun 16, 2017
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 #1
avatar+74552 
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P is 1/6 of the distance between X and Y

 

We can find the point as follows :

 

[  (1/6)(6 - - 6)  + -6 ,  (1/6)( 7 - -2) + -2 ]  

 

[  (1/6)(12) - 6, (9/6) - 2 ]  =

 

[ -4, - 1/2 ]  = P

 

Proof...

 

Distance between X and P   (-6, -2) and (-4, -1/2)  =  2.5

 

Distance between P and Y  (-4, -1/2)  and  ( 6,7)  = 12.5

 

And   XP : PY  =  2.5 : 12.5  =  1 : 5

 

 

 

cool cool cool

 
CPhill  Jun 16, 2017

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