Find the equation to the straight line which passes through the point (-4, 3) and is such that the portion of it between the axes is divided by the point in the ratio 5 : 3.

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