A point T on a segment with endpoints D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. Find T. You must show all work to receive
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Step-by-step explanation:

We want to find point T(x,y).

Since it partitions the segment DF in a 3:1 ratio, we have that:

So

We apply this to both the x-coordinate and y-coordinate of T.

x-coordinate:

x-coordinate of D: 1

x-coordinate of F: 7

x-coordinate of T: x

So

y-coordinate:

y-coordinate of D: 4

y-coordinate of F: 1

y-coordinate of T: yy-

So

T is:

yes

step-by-step explanation: