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.
Select one:
a. (3.8, 6.8)
b. (3.9, 4.8)
c. (4.2, 5.6)
d. (4.3, 5.9)

Question

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.
Select one:
a. (3.8, 6.8)
b. (3.9, 4.8)
c. (4.2, 5.6)
d. (4.3, 5.9)

anonymous · Answer

@Abmon98

ddcamp · Answer

If it's a 2:3 ratio between AB and BC, then mAB = (2/5)mAC

The change in x between A and B will be 2/5 the change in x between A and C
Same for change in y.

abmon98 · Answer

2(5)+3(3)/2+3,2(11)+3(4)/2/3=(3.8,6.8)