Question : At what point does the line $2x–3y = 6$ cuts the Y-axis?
Option 1: (0, 2)
Option 2: (–2, 0)
Option 3: (2, 0)
Option 4: (0, –2)
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Correct Answer: (0, –2)
Solution :
Given:
The equation is $2x–3y = 6$
The Y-axis can be expressed as $x = 0$.
So, both lines should be satisfied at the intersection.
Substitute $x=0$ in the equation, $2x–3y = 6$, we get,
$(2×0)–3y = 6$
⇒ $y = –2$
The point is (0, –2) which satisfies both the lines.
Hence, the correct answer is (0, –2).
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