Draw the graph for the linear equation given below :

$y =\dfrac{3}{2}x + \dfrac{2}{3}$

$y =\dfrac{3}{2}x + \dfrac{2}{3}$

Step 1:

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

Let x = -2, then $y =\dfrac{3}{2} \times (-2) + \dfrac{2}{3} ⇒ y = -2.3$

Let x = 0, then $y =\dfrac{3}{2} \times 0 + \dfrac{2}{3} ⇒ y = 0.6$

Let x = 2, then $y =\dfrac{3}{2} \times 2 + \dfrac{2}{3} ⇒ y = 3.6$

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.