Draw the graph for the linear equation given below :

$y = \dfrac{2}{3} x - 1$

$y = \dfrac{2}{3} x - 1$

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = -3, then $y = \dfrac{2}{3} \times (-3) - 1 ⇒ y = -3$

Let x = 0, then $y = \dfrac{2}{3} \times 0 - 1 ⇒ y = -1$

Let x = 3, then $y = \dfrac{2}{3} \times 3 - 1 ⇒ y = 1$

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.