Question

Complete the following table to draw the graph of 3x − 2y = 18

x	0	4	2	−1
y	− 9	______	______	______
(x, y)	(0, −9)	(______, _______)	(______, _______)	______

Answer 1

Substituting x = 4 in 3x – 2y = 18,

We get 3(4) – 2y = 18

∴ 12 – 2y = 18

∴ 2y = 12 – 18 = – 6

∴ y = `(-6)/2` = – 3

Substituting x = 2 in 3x – 2y = 18,

We get 3(2) – 2y = 18

∴ 6 – 2y = 18

∴ 2y = 6 – 18 = – 12

∴ y = `(-12)/2` = – 6

Substituting x = – 1 in 3x – 2y = 18,

We get 3(–1) – 2y = 18

∴ – 3 – 2y = 18

∴ 2y = – 3 – 18

= – 21

∴ y = `(-21)/2`

x	0	4	2	−1
y	− 9	− 3	− 6	`(-21)/2`
(x, y)	(0, −9)	(4, − 3)	(2, − 6)	`(-1, (-21)/2)`