Draw the graph for the equation given below :

3x + 2y = 6

Find the co-ordinates of the points where the graph (line) drawn meets the co-ordinate axes.

3x + 2y = 6

Step 1:

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

Let x = -1, then 3 $\times$ (-1) + 2y = 6 ⇒ y = $\dfrac{9}{2} = 4.5$

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

Let x = 1, then 3 $\times$ 1 + 2y = 6 ⇒ y = $\dfrac{3}{2} = 1.5$

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.