Mathematics

For what value of k will the point (3, -k) lie on the line 9x + 4y = 3?

Straight Line Eq

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Answer

In order for the point (3, -k) to lie on the line 9x + 4y = 3, it must satisfy the equation.

On putting x = 3 and y = -k, we have

⇒ 9(3) + 4(-k) = 3

⇒ 27 – 4k = 3

⇒ 4k = 27 – 3 = 24

⇒ k = $\dfrac{24}{4}$

⇒ k = 6.

Hence, k = 6.

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