The given equation is 2x + 3y = 12. To draw the graph of this equation, we need at least two points lying on the graph.
From the equation, we have y = (12 - 2x)/3
For x = 0, y = 4, therefore, (0, 4) lies on the graph.
For y = 0, x = 6, therefore, (6, 0) lies on the graph.
Now plot the points A (0, 4) and B (6, 0) and join them (see Fig), to get the line AB. Line AB is the required graph.
You can see that the graph (line AB) cuts the x-axis at the point (6, 0) and the y-axis at the point (0, 4).