Question

Complete the following table to draw the graph of x + 2y = 4.

Activity:

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

Answer 1

x + 2y = 4

∴ Substituting x = −2 in x + 2y = 4

(−2) + 2y = 4

⇒ 2y = 4 + 2

⇒ 2y = 6

⇒ y = `6/2` 

⇒ y = 3

(x, y) = (−2, 3)

∴ Substituting y = 1 in x + 2y = 4

x + 2(1) = 4

⇒ x + 2 = 4

⇒ x = 4 − 2

⇒ x = 2

(x, y) = (2, 1)

x	−2	2
y	3	1
(x, y)	(−2, 3)	(2, 1)