You can put this solution on YOUR website! The easiest way is to find where the line crosses each axis (if not the origin) and these two points define the line.
2x-3y=12 Find where it crosses the x axis(set y=0)
2x=12 solve for x, divide both sides by 2
2x/2=12/2
x=6 Our first co-ordinate is (6,0)
2x-3y=12 Now find where it crosses the y axis (set x=0)
-3y=12 divide both sides by -3
-3y/-3=12/-3
y=-4 Our second co-ordinate is (0,-4)
To draw the graph plot the two points and draw a line through them.