Question

A segment 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

Answer 1

k = AC/BC = 2/3
x C = ( x 1 + k x 2) / ( 1 + k )
x C = ( 3 + 2/3 * 6 ) / ( 1 + 2/3 )
x C = ( 3 + 4 ) : 5/3 = 7 * 3/5
x C = 4.2 ( the x value for C )