To solve the problem of plotting the point \( x = 6 \) on a coordinate plane, follow these steps:
### Step-by-Step Solution:
1. **Draw the Coordinate Plane:**
- Start by drawing two perpendicular lines that intersect at a point. The horizontal line is called the x-axis, and the vertical line is called the y-axis. The point where they intersect is called the origin (0, 0).
2. **Label the Axes:**
- Mark the positive direction of the x-axis to the right of the origin and the negative direction to the left. Similarly, mark the positive direction of the y-axis upwards and the negative direction downwards.
3. **Choose a Scale:**
- Decide on a scale for the axes. For example, you can mark each unit as 1 unit apart. You can also choose to mark every 2 units for easier plotting. For this example, let’s mark every 2 units on the x-axis: 2, 4, 6, 8, 10 on the positive side and -2, -4, -6 on the negative side.
4. **Locate the Point \( x = 6 \):**
- Since the equation is \( x = 6 \), this means that the x-coordinate is fixed at 6. The y-coordinate can be any value. Therefore, you can plot several points where \( x = 6 \) and \( y \) can take any value (for example, \( y = 0, 1, 2, -1, -2 \), etc.).
5. **Plot the Point:**
- For simplicity, let’s plot the point where \( y = 0 \). This gives us the point (6, 0). Mark this point on the coordinate plane.
6. **Draw the Line:**
- To represent the equation \( x = 6 \), draw a vertical line through the point (6, 0) extending upwards and downwards. This line indicates that for any value of \( y \), the x-coordinate remains 6.
### Final Representation:
- The vertical line you drew represents all points where \( x = 6 \). Some example points on this line are (6, 1), (6, -1), (6, 2), (6, -2), etc.
