Draw the graph of the following linear equation :

x - 5y - 4 = 0

The given equation x - 5y - 4 = 0, can be written as :

⇒ 5y = x - 4

⇒ y = $\dfrac{1}{5}$(x - 4)

When x = -6, y = $\dfrac{1}{5}(-6 - 4) = -\dfrac{10}{5}$ = -2,

x = -1, y = $\dfrac{1}{5}(-1 - 4) = -\dfrac{5}{5}$ = -1,

x = 4, y = $\dfrac{1}{5}(4 - 4) = \dfrac{0}{5}$ = 0.

Table of values :

Steps of construction :

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