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Point E is located at (-1, 6) and point F is located at (3, 9).  What are the coordinates of the points that partitions the directed line segment EF in a 3:2 ratio?

Guest Mar 12, 2018
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We have 5 equal segments on EF ...and we are looking for the point that is 3/5 of the way between E and F in that directon

 

So we have

 

( -1 + (3 - (-1) )(3/5) , 6 + (9 - 6)(3/5) )  =

 

(-1 + (4)(3/5) , 6 + (3)(3/5) )  =

 

(-1 + 12/5 , 6 + 9/5 )

 

(7/5, 39/5)

 

 

cool cool cool

CPhill  Mar 12, 2018

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