What are the coordinates of the point on the directed line segment from (-1,-9) to (2,6) that partitions the segment into a ratio of 2 to 1?

Answer 1

Let this Poit is M(a, b). Then <a + 1, b + 9) = 2/3<3,15> = <2, 10>.

So, a + 1 = 2 and b + 9 = 10;

a = 1 and b = 1.

Point M(1, 1)