Question

Find the coordinates of P so that P partitions the segment AB in the ratio 1:7 if A(7,14) and B(−1,−2).

Answer 1

P(6, 12 )

Explanation:

Using the Section formula, then

`x_(P)` =
`(7(7)+1(-1))/(1+7)` =
`(49-1)/(8)` =
`(48)/(8)` = 6

`y_(P)` =
`(7(14)+1(-2))/(1+7)` =
`(98-2)/(8)` =
`(96)/(8)` = 12

Hence P(6, 12 )