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Mathematics

The point (-3, 2) lies on the line ax + 3y + 6 = 0, calculate the value of a.

Straight Line Eq

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Answer

Since, (-3, 2) lies on the line ax + 3y + 6 = 0, so it satisfies the equation.

Substituting x = -3 and y = 2 in the equation ax + 3y + 6 = 0 we have,

⇒ -3a + 3(2) + 6 = 0

⇒ -3a + 6 + 6 = 0

⇒ -3a + 12 = 0

⇒ 3a = 12

⇒ a = 123\dfrac{12}{3}

⇒ a = 4.

Hence, a = 4.

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