**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 (x_{1}, y_{1}) and (x_{2}, y_{2}) in the ratio m : n, then coordinates of point (x, y) =

(, )

Here, it is given that

A (5, – 6) = (x_{1}, y_{1})

B (-1, – 4) = (x_{2}, y_{2}),

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.**

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