Question

Find the ratio in which the line x = O divides the join of ( -4, 7) and (3, 0).
Also, find the coordinates of the point of intersection.

Answer 1

Let S (0, y) be the point on line x = 0 i.e. y-axis which divides the line segment PQ in the ratio k: 1. 

Coordinates of S are, 

`0 = (3"k" - 4)/("k + 1") ` Y = `(0 + 7)/("k" + 1)`

⇒ 3k = 4

k = `4/3`    ..........(1)

Y = `7/(4/3 + 1)`   ....(from (1))

Y = 3

Hence, the required ratio is 4 : 3 and the required point is S(O, 3).