Find the equation of the straight line which passes through the point P(2, 6) and cuts the Coordinates axes at the point A and B respectively so that .

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 )

Given:

AP : BP =2 : 3

Explanation:

Here p= (2, 6)

⇒3a = 10,2b = 30

⇒, b = 15

Thus the equation of the line is

⇒

⇒ 9x + 2y = 30