Point a is located at (2, 6) and point b is located at (18, 12).
what point partitions the directed line segment ​ abâ¯â¯â¯â¯â¯ ​ into a 2: 3 ratio?
(8/2/5, 8/2/5)
(10/1/2, 10/1/2)
(11/3/9, 9/3/5)
(14/1/2, 12)

From A-->B in a 2:3 ratio means that it's 2/(2+3) of the way up AB
So 2/5 of the x of AB = 2/5×(18-2) = 2/5 (16)
= 32/5 = 6 2/5 + the original x of A (2) = 8 2/5
2/5 of the y of AB = 2/5×(12-6) = 2/5 (6)
= 12/5 = 2 2/5 + the original y of A (6) = 8 2/5
Therefore the answer is:
(8 2/5, 8 2/5)

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