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

-2

Explanation:

Answer 2

Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Explanation:

From the given graph it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).

The formula to find x intercept.

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

The ratio is 2:5, therefore the value of m is 2 and the value of n is 5.

`x=(2)/(2+5)(8-(-6))+(-6)`

`x=(2)/(7)(14)-6`

`x=4-6`

`x=-2`

Therefore the x-coordinate is -2 and second option is correct.