Question

Find the point B on AC such that the ratio of AB to BC is 2:3

Answer 1

2 1/5, 1/5

Explanation:

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Answer 2

B(4, - 3 )

Explanation:

We have A(2, - 7) and C(7, 3 )

Using the section formula to calculate the coordinates of B

`x_(B)` =
`(3(2)+2(7))/(2+3)` =
`(6+14)/(5)` =
`(20)/(5)` = 4

`y_(B)` =
`(3(-7)+2(3))/(2+3)` =
`(-21+6)/(5)` =
`(-15)/(5)` = - 3

Hence B(4, - 3 )