Let the point on the x-axis be (x, 0). [y – coordinate is zero]
And, let this point divides the line segment AB in the ratio of k : 1.
Now using the section formula for the y-coordinate, we have
0 = (7k – 3)/(k + 1)
7k – 3 = 0
k = 3/7
Therefore, the line segment AB is divided by x-axis in the ratio 3: 7