A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1 ratio. Find T. You must show all work to receive credit. (10 points)
Not to hard to find this....T is (2/3) of the distance from D to F
The coordinates of T can be found as
[ 1 + (2/3)(7 - 1) , 4 + (2/3)(1 - 4) ] =
[ 1 + (2/3)(6) , 4 + (2/3)(-3) ] =
[ 1 + 4. 4 - 2 ] =
( 5 , 2)