Edward C. answered • 04/07/15

Caltech Grad for math tutoring: Algebra through Calculus

If P partitions MN into MP and PN at a ratio of 2:3 then P is 2/5 of the way from M to N in both the X and Y directions.

So the X-coordinate of P is (2/5)*(11-2) + 2 = 18/5 + 10/5 = 28/5 = 5.6

and the Y-coordinate of P is (2/5)*(-3-1) + 1 = -8/5 + 5/5 = -3/5 = -0.6

So P = (5.6,-0.6)