To determine whether a specific pair \((x, y)\) is an ordered pair of the relation given by the equation \(y = -\frac{2}{3}x + 6\), you can substitute the value of \(x\) into the equation and solve for \(y\).
If you provide specific values for \(x\) or a list of ordered pairs, I can help you determine which ones lie on the line defined by the relation \(y = -\frac{2}{3}x + 6\). Alternatively, if you want to check a generated pair, we can calculate it from any \(x\) value.