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.