Question

Find the coordinates of a point on the directed segment from (3,-2) to (8,0) that divides it into a ratio of 3:1.

Answer 1

`(x,y) = ((27)/(4), -(1)/(2))`

Step-by-step explanation:

Given

`(x_1,y_1) = (3,-2)`

`(x_2,y_2) = (8,0)`

`m : n = 3 :1`

Required

The coordinates of the point

This is calculated using:

`(x,y) = (1)/(m+n)(mx_2 + nx_1, my_2 + ny_1)`

So, we have:

`(x,y) = (1)/(3+1)(3*8 + 1*3, 3*0 - 1*2)`

`(x,y) = (1)/(4)(27, -2)`

So, we have:

`(x,y) = ((27)/(4), -(1)/(2))`