Question

In what ratio is the line joining (2, –4) and (–3, 6) divided by the y-axis?

Answer 1

Let the line joining points A (2, –4) and B (–3, 6) be divided by point P (0, y) in the ratio k : 1.

`x = (kx_2 + x_1)/(k + 1)`

`0 = (k xx (-3) + 1 xx 2)/(k + 1)`

`0 = -3k + 2`

`k = 2/3`

Thus, the required ratio is 2 : 3.