https://file.aiquickdraw.com/mathbot/file/17263060958566tz252sn.jpg

The correct answer from the image is the last option, which is:

\[
y = \frac{4}{81}(x - 9) + \frac{1}{3}
\]

Let me know if you would like further details on how this is solved or have any questions!

Here are 5 related questions to expand on this:
1. How is the derivative of a rational function calculated?
2. What is the significance of the slope in the equation of the tangent line?
3. How do you find the equation of a tangent line at a given point?
4. What is implicit differentiation, and when do you use it?
5. How do you verify if a point lies on the graph of a function?

**Tip:** Always remember that the slope of the tangent line is given by the derivative of the function evaluated at the point of interest.

Find an equation of the tangent line to the graph of the function y = (2x - 9) / (2x + 9) at the point (9, 1/3).

Learn how to find the equation of the tangent line to the graph of the rational function y = (2x - 9) / (2x + 9) at the point (9, 1/3). This involves using the derivative and the point-slope form. Suitable for high school calculus or college-level students.

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