Find the point, M, that divides segment AB into a ratio of 2:1 if A is at (-1, 2) and B is at (8, 15).

2 answers

x-coordinate ... 2/3 of the way from -1 to 8 ... 6 units from -1 ... 5

y-coordinate ... 2/3 of the way from 2 to 15 ... 26/3 units from 2 ... 20/3
A(-1, 2), M(x, y), B(8, 15).

x+1 = 2/3(8+1)
X = 5.

y-2 = 2/3(15-2)
Y = 32/3.