It looks like there's a small typo in your equation. It should be written as:

\[
y = \frac{5}{x - 1}
\]

This is a rational function where \( y \) is defined in terms of \( x \). The function is undefined when \( x = 1 \), because the denominator becomes zero, leading to a division by zero.

### Key Points:
1. **Domain**: The function is defined for all real numbers except \( x = 1 \).
2. **Asymptotes**:
   - **Vertical Asymptote**: \( x = 1 \)
   - **Horizontal Asymptote**: \( y = 0 \) (as \( x \) approaches infinity, \( y \) approaches 0).

Would you like more details or have any specific questions?

### Related Questions:
1. How do you find the vertical asymptote of a rational function?
2. What is the horizontal asymptote of the function \( y = \frac{5}{x - 1} \)?
3. Can you graph the function \( y = \frac{5}{x - 1} \) and identify its key features?
4. How does the value of \( y \) change as \( x \) approaches the vertical asymptote from the left and right?
5. What happens to the function if we shift it vertically by adding a constant?

**Tip:** When working with rational functions, always check for values of \( x \) that make the denominator zero, as these will be the points where the function is undefined.

Explore the rational function y = 5/(x - 1) and its key properties. Learn about its domain, vertical asymptote at x = 1, and horizontal asymptote at y = 0. This function is defined for all real numbers except x = 1. Suitable for high school students studying rational functions.

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