Q) Find the ratio in which y-axis divides the line segment joining the points (5, -6) and (-1, -4).

Ans: Let’s draw the diagram to solve:

Let’s consider the coordinates of point P is (0,y)

Also consider that the line AB is divided in ratio of m : n.

By section formula, if a point (x, y) divides the line joining the points (x₁, y₁​) and (x₂​, y₂​) in the ratio m : n, then coordinates of point (x, y) =
(, )

Here, it is given that

A (5, -6) = (x₁, y₁​)

B (-1, -4) = (x₂​, y₂​),

Let’s consider line is divided in the ratio of m : n

Hence the co-ordinates of point P:

x = =  0

or m = 5 n

Therefore, the line is divided in the ratio of 5: 1.