Question

Find the point P along the directed line segment from point A(–9, 5) to point B(11, –2) that divides the segment in the ratio 4 to 1.

Answer 1

`P = (7, -(3)/(5))`

Explanation:

Given

`A = (-9,5)`

`B = (11,-2)`

`m : n = 4 : 1`

Required

Point P

This is calculated as:

`P = ((m * x_2 + n * x_1)/(m + n), (m * y_2 + n * y_1)/(m + n))`

So, we have:

`P = ((4 * 11 + 1 * -9)/(4 + 1), (4 * -2 + 1 * 5)/(4+1))`

`P = ((35)/(5), (-3)/(5))`

`P = (7, -(3)/(5))`