Answer:
(5, 6 1/3)
Step-by-step explanation:
You want the point that partitions AB in a 2:1 ratio.
Solution
Let that point be P. Then the required ratio is ...
AP/PB = 2/1
AP = 2·PB . . . . . . multiply by PB
P -A = 2(B -P) . . . . write as the difference of coordinates
3P = 2B +A . . . . . . . solve for P
Substituting the given coordinates, we have ...
3P = 2(7, 8) +(1, 3) = (14 +1, 16 +3)
P = (15, 19)/3 = (5, 6 1/3)
The point that partitions AB into the ratio 2:1 is (5, 6 1/3).
