Section Formula

To find the ratio in which the x-axis divides the line segment joining the points and , we need to use the section formula. The x-axis divides a line segment where the -coordinate of the dividing point is . Let's denote this point as . The section formula in terms of a ratio for coordinates and is given by:

Given points are and . We know at the point dividing the line on the x-axis:

Solving for the ratio :

Thus, the x-axis divides the line segment in the ratio .

Therefore, the correct option is 3:7.