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.

Here y axis divides our line joined by the points (say) A (-2, -3) and B (3, 7).

Let coordinate of the point be C(0, y).

Here our x- coordinate is zero, as point C lie on x-axis.

Let y axis divide AB in ratio of m:n.

By section formula,

x = , y =

For point C(0, y) on line joined by the points A and B,

0 = …(1)

And, y = …(2)

Solving 1,

0(3m – 2n

∴ 3m = 2n

∴m:n = 2:3

Now solving for 2, for values m = 2 and n = 3,

y =

y =

∴ y = = 1

∴ C(0, y) ≡ (0, 1)