If D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. What is T?
The distance from D to T represents 3/ (3 + 1) = 3/4 of the distance from D to F....we can find T as
( 1 + (3/4)(7-1) , 4 + (3/4) (1 - 4) ) =
( 1 + (3/4)(6) , 4 + (3/4) (-3) ) =
( 1 + 18/4 , 4 - 9/4 ) =
(22/4 , 7/4) =
( 11/2 , 7/4 ) = T
+4 
