Answer:
(3 1/2, 7 1/4)
Step-by-step explanation:
When the segments have the ratio 1:3, the shorter segment is 1/(1+3) = 1/4 of the total length.
The point P that divides the length that way will be ...
... P = A + (1/4)(B - A)
... = A - 1/4A + 1/4B
... = (3A +B)/4
... = (3(2, 8) +(8, 5))/4 = (14/4, 29/4)
... P = (3 1/2, 7 1/4)
