Question

What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?

Answer 1

The given end points of the line of the given graph are J(-6,-2) and K( 8,-9).

We need to find the coordinate of x that divide the line segment from J to K in 2:5 ratio.

We are given formula also.

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

We have m = 2, n= 5, x1 = -6 and x2 = 8.

Plugging those values of m, n, x1 and x2 in above formula, we get

$x=\left(\frac{2}{2+5}\right)\left(8-\left(-6\right)\right)+\left(-6\right)$

$=\frac{2}{7}\left(8+6\right)-6$

$=\frac{2\cdot \:14}{7}-6$

$=4-6$

$x=-2$

Therefore, correct option is 2nd option -2.

Answer 2

Answer:

it is -2 oprion 2

Step-by-step explanation: