Point A is located at (5, 6) and point B is located at (8, −2) .
What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a 1:3 ratio?
What we are looking for is the point that is 1 / (1 + 3) = 1/4 the distance from A to B
This can be calculated as follows :
[ 5 + (8 - 5)/4 , 6 + (-2 - 6)/4 ] =
[ 5 + 3/4 , 6 + -8/4 ]
[ 5 + 3/4, 6 - 2 ]
( 23/4, 4 )
@CPhill can we just find the midpoint and divide the answer by 4??
I didn't think of that approach...but.....we want to find the midpoint of AB and then find the midpoint of A to this calculated midpoint
+21 
