To determine whether an ordered pair \((x, y)\) represents a point on the graph of the equation \(x - 3y = 6\), we can substitute the values of \(x\) and \(y\) from the ordered pair into the equation and see if it holds true.
Let's rearrange the equation to find the value of \(y\) in terms of \(x\):
\[ x - 3y = 6 \] \[ -3y = 6 - x \] \[ y = \frac{x - 6}{3} \]
Now, if you provide specific ordered pairs, I can help you determine which ones satisfy the equation. If you want to check pairs like \((0, -2)\), \((3, 0)\), \((6, 0)\), etc., just list them out, and I will verify!