Q.2 (A)(i) Complete the following table to draw the graph of equation \(x - y = 1\).
Activity :
| \(x\) | 0 | ____ | ____ |
| \(y\) | ____ | 0 | –3 |
| \((x, y)\) | (0, –1) | ____ | (–2, –3) |
Best answer
Answer: \(x = 0 \Rightarrow y = -1\); \(y = 0 \Rightarrow x = 1\), point \((1, 0)\); \(y = -3 \Rightarrow x = -2\), point \((-2, -3)\).
The completed table is:
| \(x\) | 0 | 1 | –2 |
| \(y\) | –1 | 0 | –3 |
| \((x, y)\) | (0, –1) | (1, 0) | (–2, –3) |
\(x - y = 1 \Rightarrow y = x - 1\). When \(x = 0\), \(y = -1\); when \(y = 0\), \(x = 1\); when \(y = -3\), \(x = -2\).
Plot the points (0, –1), (1, 0) and (–2, –3) and join them to get the line \(x - y = 1\).
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