Answer:
The correct option is 2.
Explanation:
It is given that the endpoints of the line segment are I(5, 2) and J(9, 10).
According to the section formula, if a point divide the line segment in m:n, then the coordinates of that point are

The x-coordinate is also written as
The distance between the x-coordinates is 4 units and
. So, the fractions that will let him find the x-coordinate for point K is

The required fraction is 2/5.
The x-coordinate of K is
Therefore the correct option is 2.