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)


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