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Question
The line x + 3y + 2 = 0 passes through the point (4, k); then the value of k is ______.
Options
2
1
−1
−2
MCQ
Fill in the Blanks
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Solution
The line x + 3y + 2 = 0 passes through the point (4, k); then the value of k is −2.
Explanation:
Since the line x + 3y + 2 = 0 passes through the point (4, k), we substitute x = 4 and y = k:
4 + 3k + 2 = 0
3k + 6 = 0
3k = −6
k = −2
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