Question

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.

Answer 1

Point dividing a line in the ratio 1:m formed by joining $(x_1,y_1)$ and $(x_2,y_2)$ is given by
x = y =

Let the point on y axis be (0,y)


So y axis divides the line in the ratio of 5:1.


Hence, the point of division is $(0,\frac{-13}{3})$.