Let the ratio in which the line segment joining A (1, - 5) and B ( - 4, 5) is divided by x-axis be k: 1

Therefore, the coordinates of the point of division is (, )

We know that y-coordinate of any point on x-axis is 0

Therefore,

= 0

k = 1

Therefore, x-axis divides it in the ratio 1:1.

Division point = (, )

= ()

= (, 0)