If you want to organize your work,
you can set up a small table or chart.

The first slot is for the
y  intercept (where x = 0).
The second slot is for the
x  intercept (where y = 0).
The third slot is for any test point you choose to plot to check for errors. (Hint: choose an xvalue that will fit easily into the equation.) 
This graphing approach is particularly useful when your equation is in standard form,
Ax + By = C. 

Here is the completed chart
for the graph seen above.

yintercept  set x = 0
2•0 + 3y = 12
3y = 12 and y = 4
xintercept  set y = 0
2x + 3•0 = 12
2x = 12 and x = 6 
We chose x = 3 to create the test point.
2•3 + 3y = 12
6 + 3y = 12
3y = 6
y = 2 
The fact that these three points form a straight line on the graph tells us that we did not make an error. 
