Yes, \( \frac{4}{-9} \) is equivalent to \( -\frac{4}{9} \).
In fraction notation, the negative sign can be placed in the numerator, denominator, or in front of the fraction. So:
\[ \frac{4}{-9} = -\frac{4}{9} = \frac{-4}{9} \]
All these representations are equal.