Draw the graph of the following linear equation :

2x + y + 3 = 0

The given equation 2x + y + 3 = 0, can be written as :

⇒ y = -2x - 3

When x = 0, y = -2(0) - 3 = -3,

x = 1, y = -2(1) - 3 = -2 - 3 = -5,

x = 2, y = -2(2) - 3 = -4 - 3 = -7.

Table of values :

Steps of construction :

1. Plot the points (0, -3), (1, -5) and (2, -7) 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.