Question

LM has the endpoints L at –5 and M at 9. To find the point x so that x divides the directed line segment LM in a 2:3 ratio, use the formula x = (x2 – x1) + x1.

x = (9 – (–5)) + (–5)

Answer 1

3/5

Explanation:

thats what you type on edge

Answer 2

The value of point x is
`(3)/(5)`.

Explanation:

It is given that LM has the endpoints L at –5 and M at 9.

The point x divides the directed line segment LM in a 2:3 ratio.

The given formula is

`x=(m)/(m+n)(x_2-x_1)+x_1`

Using above formula we get

`x=(2)/(2+3)(9-(-5))+(-5)`

`x=(2)/(5)(9+5)-5`

`x=(2)/(5)(14)-5`

`x=(28)/(5)-5`

`x=(28-25)/(5)`

`x=(3)/(5)`

Therefore the value of point x is
`(3)/(5)`.