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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