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Question
Draw the graph of the equation given below.
x + y = 2
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Solution
The equation of the given line is x + y = 2.
x + y = 2
⇒ y = 2 − x ...(1)
Putting x = 0 in (1), we get
y = 2 − 0
y = 2
Putting x = 2 in (1), we get
y = 2 − 2
y = 0
Putting x = −1 in (1), we get
y = 2 − (−1)
y = 2 + 1
y = 3
Putting x = 5 in (1), we get
y = 2 − 5
y = −3
These values can be represented in the table in the form of ordered pairs as follows:
| x | 0 | 2 | -1 | 5 |
| y | 2 | 0 | 3 | -3 |
| (x, y) | (0, 2) | (2, 0) | (-1, 3) | (5, -3) |
The line is the graph of the equation x + y = 2.
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