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Mathematics

The line x + 3y + 2 = 0 passes through the point (4, k); then the value of k is;
2
1
-1
-2

Graphical Solution

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Answer

If the line x + 3y + 2 = 0 passes through the point (4, k), then substituting x = 4 and y = k into the equation of the line,

⇒ 4 + 3 x k + 2 = 0

⇒ 6 + 3k = 0

⇒ 3k = -6

⇒ k = $-\dfrac{6}{3}$

⇒ k = -2.

Hence, option 4 is the correct option.

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