Draw the graph of 3y = 12 - 2x. Take 2 cm = 1 unit on both axes.

The above equation, 3y = 12 - 2x can be written as :

⇒ 3y = 12 - 2x

⇒ y = $\dfrac{12}{3} - \dfrac{2x}{3}$

⇒ y = 4 - $\dfrac{2x}{3}$.

When x = -3, y = 4 - $\dfrac{(2 \times -3)}{3} = 4 - \dfrac{-6}{3}$ = 4 - (-2) = 6,

x = 0, y = 4 - $\dfrac{2 \times 0}{3} = 4 - 0$ = 4,

x = 3, y = 4 - $\dfrac{2 \times 3}{3}$ = 4 - 2 = 2.

Table of values :

Steps of construction :

1. Plot the points (-3, 6), (0, 4) and (3, 2) on the graph.

2. Connect any two points by a straight line.

Observe that the third point lies on the straight line.

Hence, the graph of the given equation is shown in the adjoining figure.