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

∴ 2y = – 6

∴ y = `(-6)/2`

∴ y = – 3

Substituting x = 2 in 3x – 2y = 18, we get

3(2) – 2y = 18

∴ 6 – 2y = 18

∴ 2y = 6 – 18

∴ 2y = –12

∴ y = `(-12)/2`

∴ y = – 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	`bb((-21)/2)`
(x, y)	(0, –9)	(4, − 3)	(2, − 6)	`bb((-1"," (-21)/2))`