Question

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

Answer 1

Let y-axis divide the given line segment in the ratio k : 1

Then, point of division is (3k-2/k+1,7k-3/k+1)

Since it lies on y-axis

i.e., Required ratio is 2:3

Co-ordinates of the point of division are