Question

Complete the following table for drawing the graph of the equation x + 2y = 4.

x	−2	0	`square`
y	`square`	2	1
(x, y)	`square`	(0, 2)	`square`

Answer 1

x + 2y = 4

Substituting x = −2,

(−2) + 2y = 4

⇒ 2y = 4 + 2

⇒ 2y = 6

⇒ y = `6/2` 

⇒ y = 3

(x, y) = (−2, 3)

Substituting y = 1,

x + 2(1) = 4

⇒ x + 2 = 4

⇒ x = 4 − 2

⇒ x = 2

(x, y) = (2, 1)

x	−2	0	\[\boxed{2}\]
y	\[\boxed{3}\]	2	1
(x, y)	\[\boxed{(−2, 3)}\]	(0, 2)	\[\boxed{(2, 1)}\]