A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B. A. (3.8, 6.8) B. (3.9, 4.8) C. (4.2, 5.6) D. (4.3, 5.9)

Answer 1

11-4 = 7

2/5 of 7 = 14/5

14/5 + 4 = 34/4 = 6.8

y coordinate is 6.8

5-3 = 2

2/5 of 2 = 4/5

4/5 +3 = 19/5 = 3.8

x coordinate is 3.8

A is the correct answer (3.8, 6.8)

BUT " 2:3" ratio is slightly ambiguous

it could also mean

3/5 x 7 = 21/5 = 4.25

4.25 + 4 = 8.25

3/5 x 2 = 6/5

6/5 + 3 = 21/5 = 4.25

since that's not one of the possible given answers, ignore it