Find the equation of the line which passes through the point (-4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5: 3 by this point.

Question

Philoid · Accepted Answer

Concept Used:

The equation of the line with intercepts a and b is

Given:

The line intersects the axes (a,0) and (0,b).

Explanation:

So, (-4,3) divides the line segment AB and the ratio 5:3

⇒ a , b

So, the equation of the line is

⇒ 9x – 20y = -96

Hence, the equation of line is 9x – 20y = -96