To find the option that is equivalent to \(-\frac{17}{9}\), we can consider the following:
- \(-\frac{17}{9}\) is equal to \(\frac{-17}{9}\).
- It is also equivalent to \(\frac{17}{-9}\).
Now let's evaluate each of the options:
A. \(\frac{17}{-9}\) equals \(-\frac{17}{9}\).
B. \(\frac{9}{-17}\) does not equal \(-\frac{17}{9}\).
C. \(\frac{-17}{-9}\) simplifies to \(\frac{17}{9}\), which is not equivalent.
D. \(\frac{17}{9}\) is not equivalent because it is positive, whereas \(-\frac{17}{9}\) is negative.
So the correct equivalent expression is:
A. \(\frac{17}{-9}\).