The equation of the \(X\)-axis in a Cartesian coordinate system is:

\[
y = 0
\]

This equation indicates that the \(y\)-coordinate is always zero for any point on the \(X\)-axis, meaning that all points lie horizontally along the axis.

Would you like further details or have any questions? Here are five related questions to explore further:

1. What is the equation of the \(Y\)-axis?
2. How do you find the equation of a line parallel to the \(X\)-axis?
3. What is the equation of a line perpendicular to the \(X\)-axis?
4. How can you determine the distance between a point and the \(X\)-axis?
5. What are the equations of the \(X\)-axis and \(Y\)-axis in three-dimensional space?

**Tip:** The equation of the \(X\)-axis in any dimension involves setting the other coordinates (like \(y\) or \(z\)) to zero.

Explore the concept of the X-axis in the Cartesian coordinate system and learn how the equation y = 0 represents the X-axis. This fundamental concept is crucial for understanding coordinate geometry, making it suitable for students in Grades 6-8.

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