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Question
Draw the graph of the equation given below.
3x - y = 0
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Solution
The equation of the given line is 3x − y = 0.
∴ 3x − y = 0
⇒ y = 3x ...(1)
Putting x = 0 in (1), we get
y = 3 × 0
y = 0
Putting x = 1 in (1), we get
y = 3 × 1
y = 3
Putting x = −1 in (1), we get
y = 3 × (−1)
y = −3
Putting x = 2 in (1), we get
y = 3 × 2
y = 6
These values can be represented in the table in the form of ordered pairs as follows:
| x | 0 | 1 | -1 | 2 |
| y | 0 | 3 | -3 | 6 |
| (x, y) | (0, 0) | (1, 3) | (-1, -3) | (2, 6) |
The line is the graph of the equation 3x − y = 0.
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