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The question asks which option represents the coordinates of an **x-intercept**.

An **x-intercept** is a point where a graph crosses the x-axis. At this point, the y-coordinate is always zero. 

Now, let's review the options:

- **A**: \((-4, 0)\)
- **B**: \((-4, 1)\)
- **C**: \((0, 4)\)

### Analysis:
- **Option A** has the coordinates \((-4, 0)\), where the y-coordinate is 0. This is a valid x-intercept.
- **Option B** has the coordinates \((-4, 1)\), where the y-coordinate is 1. This is not an x-intercept.
- **Option C** has the coordinates \((0, 4)\), where the y-coordinate is 4. This is not an x-intercept; instead, it could represent a y-intercept.

### Conclusion:
The correct answer is **A: \((-4, 0)\)**.

Would you like more details or have any questions? Here are some related questions to consider:

1. What are the y-intercepts, and how do you identify them?
2. How do you find the x-intercepts of a quadratic equation?
3. Can a line have more than one x-intercept?
4. How do you determine the intercepts from a linear equation in slope-intercept form?
5. What do the x-intercept and y-intercept represent in a real-world context?

**Tip:** Remember, the x-intercept always has a y-coordinate of zero, and the y-intercept always has an x-coordinate of zero.

Which one could be the coordinates of an x-intercept?

Learn how to identify the x-intercept from a set of coordinate points. This problem explores the basic concept of intercepts, where the x-intercept is found at the point where the y-coordinate equals zero. Ideal for students in Grades 6-8.

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