Graph the equation by plotting points.

x=2

The equation \( x = 2 \) is a vertical line. It represents all the points where the x-coordinate is always 2, regardless of the y-coordinate.

### 1. Understanding the Line \( x = 2 \):
- Since \( x = 2 \) for all points on this line, the y-coordinate can be any value.
- The line will pass through the points \((2, y)\) where \( y \) can be any real number.

### 2. Plotting Points:
To graph \( x = 2 \), we can choose any values for \( y \). Here are a few points:
- When \( y = 0 \), the point is \( (2, 0) \).
- When \( y = 1 \), the point is \( (2, 1) \).
- When \( y = -1 \), the point is \( (2, -1) \).
- When \( y = 2 \), the point is \( (2, 2) \).

### 3. Graphing:
- Plot the points \((2, 0)\), \((2, 1)\), \((2, -1)\), and \((2, 2)\) on the graph.
- Draw a straight vertical line through these points.

This vertical line will intersect the x-axis at \( x = 2 \) and extend infinitely up and down.

Would you like a detailed sketch or have any further questions?

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**Related Questions:**
1. What is the slope of a vertical line?
2. How do you determine if a line is vertical or horizontal from its equation?
3. How would the graph change if the equation were \( y = 2 \)?
4. Can a vertical line be expressed in slope-intercept form?
5. What is the general form of a vertical line equation?

**Tip:** Vertical lines have an undefined slope and are always represented by equations in the form \( x = \text{constant} \).

Understand how to graph the equation x = 2, a vertical line. Learn about its properties, plotting points like (2, 0), (2, 1), (2, -1), and (2, 2), and how to draw it on a coordinate plane. Suitable for Grades 7-9.

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