(06.04 MC) 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)

T is 5,2

Step-by-step explanation:

The change in x is from  1 to 7        6 units

The change in y is from 4 to 1       -3 units

A RATIO of 2:1 means the line is divided into three segments (2+1)

  We want two of those segments from endpoint D  

6 units* 2/3     added to the x value of 1 = x=5

-3 units * 2/3    added to the y value of 4 = y = 2

Hence, T is 5,2.