Point A is located at (4, 9) and point B is located at (12, -5). What are the coordinate sof the point that partitions the directed line segment AB in a 1:3 ratio?
We have 4 equal divisions.....so we are looking for the point that is 1/4 the distance between AB in that direction...so we have...
( 4 + [ 12 - 4] (1/4), 9 + [ -5 - 9] (1/4) ) =
( 4 + (8)(1/4), 9 + (-14)(1/4) ) =
( 4 + 2, 9 - 14/4 ) -
(6, 9 - 7/2 )
(6, 11/ 2 )
