Graph

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 = 2

Putting x = 2 in (1), we get

y = 2 − 2 = 0

Putting x = −1 in (1), we get

y = 2 − (−1) = 2 + 1 = 3

Putting x = 5 in (1), we get

y = 2 − 5 = −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) |

Plot these points on the graph paper.

The line is the graph of the equation x + y = 2.

Concept: Graphs of Linear Equations

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