Ratios of Directed Line Segments

Question

what are the coordiantes 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

find point 2/3 of way from (-1,-9) to (2,6).

find x coordinate 2/3 of way from -1 to 2. that would be 1.

find y coordinate 2/3 of way from -9 to 6. that would be 1.

point is (1,1).