+0  
 
-1
565
1
avatar+1015 

Point A is located at  (4, 9) and point B is located at (12, −5) .

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

 

Enter your answer, as decimals, in the boxes.

AngelRay  Nov 13, 2017
 #1
avatar+92620 
+1

(4, 9)   (12, -5)

 

[ 4 + (1/4) ( 12 - 4),  9 + (1/4)(-5 - 9) ]  = [ 4 +  8 /4 , 9 + -14/4]  = 

 

[ 4 + 2 , (36 - 14) /4 ]  =  [ 6, 22/4 ]  = [ 6, 11/2 ] = ( 6, 5.5 )

 

 

cool cool cool

CPhill  Nov 13, 2017

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