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

Answer:

The value of point x is $\frac{3}{5}$.

Step-by-step 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

$x=\frac{m}{m+n}(x_2-x_1)+x_1$

Using above formula we get

$x=\frac{2}{2+3}(9-(-5))+(-5)$

$x=\frac{2}{5}(9+5)-5$

$x=\frac{2}{5}(14)-5$

$x=\frac{28}{5}-5$

$x=\frac{28-25}{5}$

$x=\frac{3}{5}$

Therefore the value of point x is $\frac{3}{5}$.

Answer 2

Answer:

to be exact put it like this

3/5

Step-by-step explanation: