Find the equation of the line which passes through the point (3, 4) and is such that the portion of it intercepted between the axes is divided by the point in the ratio 2 : 3.

Question

Philoid · Accepted Answer

Concept Used:

The equation of the line with intercepts a and b is

Assuming:

The line meets the coordinate axes at A and B, So the coordinates A (a, 0) and B (0, b )

AP : BP =2 : 3

Here p = (3, 4)

⇒ 3a = 15,2b = 20

⇒ a = 5, b = 10

Thus the equation of the line is

Formula used:

⇒ 2x + y = 10