Draw the graph for the linear equation given below :

$x - 3 = \dfrac{2}{5}(y + 1)$

$x - 3 = \dfrac{2}{5}(y + 1)$

Step 1:

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

Let x = 0, then $0 - 3 = \dfrac{2}{5}(y + 1) ⇒ y = -8.5$

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

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

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.