Find the ratio in which the y-axis divides the line segment joining the points (5, -6) and (-1, -4). Also, find the coordinates of the point of division.
Let our points be A(5, -6) and B(-1, -4).
Let point C(0, y) divide the line formed by joining by the points A and B in ratio of m:n.
By section formula,
x = 
, y = 
For point C(0, y)
0 = 
, y = 
Solving for x coordinate,
0 = 
∴ m = 5n
∴ 
= 
∴ m : n = 5 : 1
Now solving for y coordinate, with m = 5 and n = 1,
y = 
y = 
∴ y = 
There is no need to solve for x, as our point lies on y-axis
Hence, the coordinates of required point is C(
, 
)
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