Draw the graph for the linear equation given below :

$\dfrac{x-1}{3} - \dfrac{y+2}{2} = 0$

$\dfrac{x-1}{3} - \dfrac{y+2}{2} = 0$

Step 1:

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

Let x = -5, then $\dfrac{-5-1}{3} - \dfrac{y+2}{2} = 0 ⇒ y = -6$

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

Let x = 4, then $\dfrac{4-1}{3} - \dfrac{y+2}{2} = 0 ⇒ y = 0$

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.