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The equation given is \( x = 4 \). This represents a vertical line where \( x \) is always 4, regardless of the \( y \)-value. Let's analyze the intercepts based on this information:

### 1. **X-Intercept**:
The x-intercept is the point where the line crosses the x-axis (where \( y = 0 \)). For \( x = 4 \), the x-intercept is at \( (4, 0) \).

### 2. **Y-Intercept**:
The y-intercept is the point where the line crosses the y-axis (where \( x = 0 \)). However, since \( x = 4 \) is a vertical line, it does not cross the y-axis. Therefore, there is **no y-intercept**.

### Solution:
- **X-Intercept**: \( (4, 0) \)
- **Y-Intercept**: DNE (Does Not Exist)

### Graphing on the Provided Grid:
To graph \( x = 4 \):
1. Draw a vertical line that passes through the point \( (4, y) \) for all \( y \) values. This line will be parallel to the y-axis and located at \( x = 4 \).

Would you like further details on this or any additional help with related topics? 

### Relative Questions:
1. What is the general form of the equation of a vertical line?
2. How do you determine intercepts for linear equations?
3. Why does a vertical line like \( x = 4 \) not have a y-intercept?
4. What would be the y-intercept if the equation were \( y = 4 \) instead?
5. How do horizontal lines differ from vertical lines in terms of intercepts?

### Tip:
For vertical lines, the x-coordinate is constant, which is why they only have an x-intercept. For horizontal lines, the y-coordinate is constant, so they only have a y-intercept.

Use the intercepts to graph the equation x = 4. Enter the x-intercept and y-intercept.

Learn how to graph the vertical line equation x = 4 using intercepts. This problem covers core algebra concepts like x-intercept and y-intercept, and how to graph linear equations. Ideal for students in Grades 7-9.

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