To multiply \( \frac{4}{5} \) by \( -9 \), you can represent \( -9 \) as \( -\frac{9}{1} \) for the multiplication:
\[ \frac{4}{5} \times -\frac{9}{1} = \frac{4 \times -9}{5 \times 1} = \frac{-36}{5} \]
This can also be written as:
\[ -7 \frac{1}{5} \]
Thus, the final answer is \(-\frac{36}{5}\) or \( -7\frac{1}{5} \). However, since none of the options exactly matches, the closest interpretation of that would be in the mixed number form, it’s also important to note that -\(7\frac{1}{5}\) is approximately -8, which might also be mentioned in one of the options.
Based on the given responses, none of the options are exactly correct. If choosing on approximation or interpretation based on closest fit, it would be "-8". However, please verify with your course material on the exact expectations.