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To find the vertical asymptote(s) of the rational function:

\[
y = \frac{x - 5}{x + 6}
\]

we need to identify the values of \( x \) that make the denominator zero, as vertical asymptotes occur where the function is undefined (when the denominator is zero).

### Steps:
1. Set the denominator equal to zero:
   \[
   x + 6 = 0
   \]

2. Solve for \( x \):
   \[
   x = -6
   \]

### Conclusion:
The vertical asymptote is at \( x = -6 \).

Would you like further details on this topic or have any questions?

### Related Questions:
1. What happens to the graph of a function near a vertical asymptote?
2. How do horizontal asymptotes differ from vertical asymptotes in rational functions?
3. Can a rational function have more than one vertical asymptote? If so, under what conditions?
4. What are the horizontal asymptotes of the function \( y = \frac{x - 5}{x + 6} \)?
5. How do holes in a rational function graph differ from vertical asymptotes?

### Tip:
To quickly find vertical asymptotes, focus on the zeros of the denominator in the rational function.

Find the vertical asymptotes of the graph of the rational function: y = (x - 5) / (x + 6).

Learn how to find the vertical asymptotes of the rational function y = (x - 5) / (x + 6). This example covers key concepts in identifying asymptotes, focusing on where the function becomes undefined. Ideal for high school students in Grades 9-11.

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