x=0 represents the equation of

Options

A. x axis
B. y axis
C. a line parallel to x axis
D. a line parallel to y axis

Answer

To solve the problem of determining what the equation \( x = 0 \) represents, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Equation**: The equation \( x = 0 \) indicates that the value of \( x \) is always 0, regardless of the value of \( y \). This means that for any value of \( y \), \( x \) will not change.

**Hint**: Think about what it means for \( x \) to be fixed at 0 while \( y \) can vary.

2. **Setting Up Points**: To visualize this, we can create some points. We can choose different values for \( y \) and see what \( x \) will be:
- If \( y = 0 \), then the point is \( (0, 0) \).
- If \( y = 1 \), then the point is \( (0, 1) \).
- If \( y = 2 \), then the point is \( (0, 2) \).
- If \( y = 3 \), then the point is \( (0, 3) \).
- If \( y = 4 \), then the point is \( (0, 4) \).

**Hint**: Choose any values for \( y \) and remember that \( x \) will always remain 0.

3. **Plotting the Points**: Now, we can plot these points on a graph:
- The point \( (0, 0) \) is the origin.
- The point \( (0, 1) \) is one unit above the origin on the y-axis.
- The point \( (0, 2) \) is two units above the origin on the y-axis.
- Continuing this way, we plot \( (0, 3) \) and \( (0, 4) \).

**Hint**: Remember that all points will lie on the vertical line where \( x = 0 \).

4. **Drawing the Line**: After plotting the points, we can draw a line through these points. Since all points have the same \( x \)-coordinate (0), the line will be vertical.

**Hint**: Connect the points with a straight line to visualize the relationship.

5. **Identifying the Line**: The line that we have drawn is vertical and lies on the y-axis. Therefore, the equation \( x = 0 \) represents the y-axis.

**Hint**: Consider what the y-axis represents in the coordinate system.

### Conclusion:
The equation \( x = 0 \) represents the y-axis in the Cartesian coordinate system.