Question

Draw the graph of the equation given below.

 x + y = 2

Answer 1

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.