what are the coordinates of the point on the directed line segment from(-7,-9)to (5,6) that partitions the segment into a ratio of 2 to 1?

Answer 1

Since the ratio is 2 to 1, we are dividing the segment into 3 sections of equal length. (3 is the sum of 2 and 1)

From (-7,-9) to (5,6), x increases by 12 and y increases by 15

x-coordinate of the point is -7 + (2/3)(12) = 1

y-coordinate of the point is -9 + (2/3)(15) = 1

The point is (1,1)