The equation of the `x-`axis is

Options

A. `(x=0)`
B. `y=0`
C. `x=y`
D. `x+y=0`

Answer

To determine the equation of the x-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Axes**:
- The x-axis is the horizontal line in a Cartesian coordinate system where the value of y is always zero.

2. **Identifying the Condition for the x-axis**:
- On the x-axis, no matter what the value of x is (it can be positive, negative, or zero), the value of y is always 0.

3. **Writing the Equation**:
- Since y is always 0 on the x-axis, we can express this as an equation:
\[ y = 0 \]

4. **Conclusion**:
- Therefore, the equation of the x-axis is:
\[ \text{Equation of x-axis: } y = 0 \]