To find the **x-intercept** of a function, follow these steps:

### Definition:
The **x-intercept** is the point where the graph of a function crosses the x-axis. At this point, the **y-coordinate** is always **0**.

### Steps to Find the x-Intercept:
1. **Set the equation equal to 0:** Start with the function \( y = f(x) \) and set \( y = 0 \) since the y-coordinate at the x-intercept is zero.
   
   \[
   f(x) = 0
   \]
   
2. **Solve for \( x \):** Solve the resulting equation for \( x \) to find the x-values where the function crosses the x-axis.

3. **Express the x-intercepts:** The solution will give you the x-coordinates of the intercept(s). If the equation has multiple solutions, there may be more than one x-intercept.

### Example:
Given the function \( f(x) = 2x - 6 \), find the x-intercept.

1. Set \( f(x) = 0 \):
   \[
   2x - 6 = 0
   \]

2. Solve for \( x \):
   \[
   2x = 6
   \]
   \[
   x = 3
   \]

So, the x-intercept is at \( x = 3 \), or the point \( (3, 0) \).

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Would you like further details or have any specific questions?

Here are 5 related questions to expand your understanding:
1. How do you find the y-intercept of a function?
2. What if a quadratic equation has two x-intercepts? How do you find both?
3. How do you find the x-intercept of a rational function?
4. Can a function have no x-intercepts? When does that happen?
5. What is the difference between x-intercepts and roots of a function?

**Tip:** If the function is not easily factorable, use methods like the quadratic formula or numerical methods for solving the equation.

Discover how to find the x-intercept of a linear equation, like f(x) = 2x - 6, where y = 0. Follow a step-by-step explanation to understand how to solve for x when the function crosses the x-axis. This tutorial is suitable for students in Grades 6-8 learning key algebra concepts.

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