Graph the following equation in a rectangular coordinate system.
x=-4

The equation \( x = -4 \) represents a vertical line in the rectangular coordinate system. Since the equation gives a constant value for \( x \), the line is vertical and passes through \( x = -4 \) for all values of \( y \).

I can describe or graph it for you:

- The line is parallel to the \( y \)-axis.
- The line crosses the \( x \)-axis at \( (-4, 0) \), but continues infinitely both upwards and downwards, for all \( y \)-values.

Would you like me to create a visual representation of this graph?

### Here are 5 related questions:
1. What does a horizontal line equation look like?
2. How do you determine the slope of a vertical line?
3. How does the graph of \( y = -4 \) differ from \( x = -4 \)?
4. What happens when you graph a line parallel to the \( x \)-axis?
5. How do you write the equation of a line parallel to \( x = -4 \) but shifted 3 units to the right?

### Tip: A vertical line has an undefined slope, as there is no change in \( y \) for any change in \( x \).

Graph the following equation in a rectangular coordinate system. x = -4

Learn how to graph the vertical line represented by the equation x = -4 in a rectangular coordinate system. This problem involves understanding linear equations and the properties of vertical lines, suitable for students in Grades 6-8.

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