Draw the graph of the equation 3x + 2y = 12. At what points does the graph cut the x-axis and the y-axis?

3x + 2y = 12


3x + 2y = 12


2y = 12 – 3x



When, x = 0 then,






y = 6


When, x = 4 then,





y = 0


On plotting, (0, 6) and (4, 0) we get the following graph,



The blue line indicates the required graph of 3x + 2y = 12


It can be clearly seen from the graph, that it cuts the x axis at (4, 0) and y axis at (0, 6)


39