Question

In what ratio is the line segment joining the points A(-2, -3) and B(3,7) divided by the y-axis? Also, find the coordinates of the point of division.

Answer 1

Let AB be divided by the x-axis in the ratio k :1 at the point P. 

Then, by section formula the coordination of P are

Hence, the point of intersection of AB and the x-axis is P (0, 1).