Asegment 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. (3.8, 6.8) (3.9, 4.8) (4.2, 5.6) (4.3, 5.9)(update: the answer is (3.8,  6.8)

Given that a(3,4) and c(5,11) have been partitioned by b such that ab and bc form 2: 3 then point b will be evaluated as follow: b=2/5[(5--4)]+(3,4)b=2/5[2,7]+(3,4)b=[4/5, 14/5]+(3,4)b=[0.8,2.8]+(3,4)b=(3.8, 6.8)