Find the point, m, that divides segment ab into a ratio of 2: 3 if a is at (0, 15) and b is at (20, 0). a) (8, 9) b) (9, 9) c) (9, 12) eliminate d) (8, 12)

ANSWER

A. (8,9)

EXPLANATION

The point that divides,

in the ratio m:n is given by

The given points are A(0,15) B(20,0)

the ratio is 2:3.

This implies that, m=2,n=3.

We plug in the values to get:

Hence the required point is

(8,9)

The correct answer is A.