To expand \( \frac{1}{3}(q - 6) \) using the Distributive Property, you multiply \( \frac{1}{3} \) by each term inside the parentheses:
\[ \frac{1}{3}(q - 6) = \frac{1}{3} \cdot q - \frac{1}{3} \cdot 6 \]
This simplifies to:
\[ \frac{1}{3}q - 2 \]
So the correct response is:
\(-\frac{1}{3}q + 2\) (Though it's written with a leading negative sign, it should be presented with positive 2)
None of the options you provided match this exact correct answer. However, if "negative Start Fraction 1 over 3 End Fraction q plus 2" appears, it seems the closest logical representation.
Please check the provided options for clarity or potential typing errors in the answer list.