To determine an ordered pair from the relation \( y = -\frac{2}{3}x + 6 \), you can choose a value for \( x \) and then calculate the corresponding \( y \) value.
For example, let's choose \( x = 0 \):
\[ y = -\frac{2}{3}(0) + 6 = 6 \]
This gives us the ordered pair \( (0, 6) \).
Now, if we choose \( x = 3 \):
\[ y = -\frac{2}{3}(3) + 6 = -2 + 6 = 4 \]
This gives us another ordered pair \( (3, 4) \).
If you provide specific options, I can check if any of them are valid ordered pairs from the relation. Otherwise, the pairs \( (0, 6) \) and \( (3, 4) \) are both valid examples.