Point A is located at (4, 1) and point B is located at (9, 13) . What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a 4:1 ratio?
The point is given by
[ (9,13) - (4,1) ] (4/5) + (4,1) =
[ 5, 12] (4/5) + (4,1) =
(4, 48/5) + (4,1) =
(8, 53/5)
