Because the answers are all in standard form, we can simply look for the intercepts of the graph.
x-int = (-6, 0)
y-int = (0, -2)
You must multiply these numbers by a coefficient to equal 12:
[tex]-6y = 12[/tex]
[tex]-2x = 12[/tex]
Solve both equations by dividing by their values:
[tex]y = -2[/tex]
[tex]x = -6[/tex]
Look for the answer with these coefficients. The answer is -6x - 2y = 12.