The Equation of y = 0

The equation y = 0 represents a horizontal line that intersects the y-axis at the point (0,0). Let's break down the equation and analyze its components to understand why the correct answer is option 'C' - x-axis.

Understanding the Equation
In the equation y = 0, y represents the vertical coordinate or the value along the y-axis. The value on the right side of the equation is 0, which means that y is always equal to 0. This implies that the y-coordinate of any point on this line is always 0, regardless of the value of x.

Visualizing the Line
To visualize the line y = 0, we can plot a few points that satisfy the equation. Let's choose some arbitrary values for x and calculate the corresponding y-values:

- For x = -2, y = 0
- For x = -1, y = 0
- For x = 0, y = 0
- For x = 1, y = 0
- For x = 2, y = 0

As we can see, regardless of the value of x, the y-coordinate is always 0. This means that all points on this line lie on the x-axis.

Relation to the x-axis
The x-axis is a horizontal line that passes through the point (0,0). It is the line where the y-coordinate is always 0. Therefore, the equation y = 0 represents the x-axis.

Conclusion
In conclusion, the equation y = 0 represents a line that is parallel to the x-axis. All points on this line have a y-coordinate of 0, making it the x-axis. Therefore, the correct answer is option 'C' - x-axis.