Answer :

Given that the intercepts are in the ratio 3:2

Let the x–intercept be 3k and 2k, where k is some constant

Using the intercept –form, the equation of the line is

⇒

⇒

The point (3, 4) lies on this line, thus the point will satisfy the equation of the line

⇒

⇒

⇒ 1 + 2 = k

⇒ K = 3

Thus the equation of the line is

⇒

⇒ 2x + 3y = 18

⇒ 2x + 3y –18 = 0

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