Question

a has a coordinate (-2,4). B has a coordinate (9,11). find the coordinate of point p has a p that partion AB into a ratio 3:4

Answer 1

see explanation

Explanation:

Using the Section formula, then

`x_(P)` =
`(3(9)+4(-2))/(3+4)` =
`(27-8)/(7)` =
`(19)/(7)`

and

`y_(P)` =
`(3(11)+4(4))/(3+4)` =
`(33+16)/(7)` =
`(49)/(7)` = 7

Hence

P = (
`(19)/(7)`, 7 )