Question : At what point does the line $3x+y=-6$ intercept the x-axis?
Option 1: (2, 0)
Option 2: (–2, 0)
Option 3: (0, –6)
Option 4: (0, 6)
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Correct Answer: (–2, 0)
Solution :
At an x-intercept, y = 0.
So, 3x + 0 = – 6
Solving for x,
⇒ 3x = – 6
⇒ x = – 2
So, the required intercept point = (–2, 0)
Hence, the correct answer is (–2, 0).
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