Asegment with endpoints a (3, 2) and b (6, 11) is partitioned by a point c such that ac and bc form a 2: 3 ratio. find the x value for c.

3.8

3.9

4.2

4.3

First we subtract x values of points A and B
|3-6| = 3

now because the ration is 2:3 we need to divide that distance with 5 (sum of ratio numbers)
3/5

The result we multiply by 2 and add to x value of point A because that is the order of our ration (AC/BC)

2*3/5+3 = 4.2

Answer is 4.2

The graph isn’t that clear