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

The x - coordinate of the point is

Explanation:

Given that the coordinates of the two points J and K are (-6,-2) and (8,-9)

We need to determine the x - coordinate of the point that divides the directed line segment from J to K into a ratio of 2 : 5

The value of the x - coordinate can be determined using the formula,

where m = 2, n = 5 and and in the above formula, we get,

Simplifying, we get,

Dividing the terms, we get,

Multiplying the terms, we have,

Subtracting, we get,

Thus, the x - coordinate of the point is

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x