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.