Step 1 :Consider the following equation: \(-3x + y - 12 = 0\).
Step 2 :We are asked to plot the point on the line with the x-coordinate \(x = -3\).
Step 3 :To find the y-coordinate of this point, we substitute \(x = -3\) into the equation and solve for y.
Step 4 :This gives us the equation \(y - 3 = 0\).
Step 5 :Solving for y, we find that \(y = 3\).
Step 6 :Final Answer: The point on the line with the x-coordinate \(x = -3\) is \((-3, 3)\). So, the y-coordinate is \(\boxed{3}\).