Q1. [1] § 3.2 Graphical Method of Solution of a Pair of Linear Equations § 3.3 Algebraic Methods of Solving a Pair of Linear Equations § 3.4 Summary
The point of intersection of the line represented by $3x - y = 3$ and y-axis is given by
- A $(0, -3)$
- B $(0, 3)$
- C $(2, 0)$
- D $(-2, 0)$
Previously asked in CBSE board exam
2023 30/6/1 Q4
Generated by claude-sonnet-4-6 · 2026-06-15 10:35 · grounding rag
Model Answer
Option A: $(0, -3)$
On the y-axis, $x = 0$. Substituting in $3x - y = 3$: $3(0) - y = 3 \Rightarrow y = -3$. So the point is $(0, -3)$.
Explanation
To find intersection with the y-axis, always put $x = 0$ in the equation and solve for $y$. The x-axis intersection requires $y = 0$ instead — don't confuse the two. This is a standard 1-mark concept tested frequently.
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