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Question
Draw the graph of the equation given below.
2x + y = 1
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Solution
The equation of the given line is 2x + y = 1.
∴ 2x + y = 1
⇒ y = 1 − 2x ...(1)
Putting x = 0 in (1), we get
y = 1 − 2 × 0
y = 1 − 0
y = 1
Putting x = 1 in (1), we get
y = 1 − 2 × 1
y = 1 − 2
y = −1
Putting x = −1 in (1), we get
y = 1 − 2 × (−1)
y = 1 + 2
y = 3
Putting x = 2 in (1), we get
y = 1 − 2 × 2
y = 1 − 4
y = −3
These values can be represented in the table in the form of ordered pairs as follows:
| x | 0 | 1 | -1 | 2 |
| y | 1 | -1 | 3 | -3 |
| (x, y) | (0, 1) | (1, -1) | (-1, 3) | (2, -3) |
∴ The line is the graph of the equation 2x + y = 1.
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