What Are the X-Axis and Y-Axis?
The x-axis and y-axis are two perpendicular number lines that form the foundation of a two-dimensional Cartesian coordinate system. The x-axis is the horizontal line that runs left and right, while the y-axis is the vertical line that runs up and down. Their point of intersection is called the origin.
Section 2: Defining Each Axis
The x-axis measures horizontal distance. Positive values are to the right of the origin (0,0), and negative values are to the left. The y-axis measures vertical distance. Positive values are above the origin, and negative values are below. Together, they divide the plane into four distinct quadrants.
Section 3: A Practical Example
To plot a coordinate point like (4, -2), you use both axes. The first number, 4, is the x-coordinate, so you move 4 units to the right along the x-axis from the origin. The second number, -2, is the y-coordinate, so you then move 2 units down, parallel to the y-axis. This precise location is where you plot the point.
Section 4: Why Are They Important?
The x and y-axes are essential tools for visualizing relationships between two variables. In science and mathematics, they are used to graph equations, plot experimental data, and model real-world scenarios, such as tracking changes over time or comparing different quantities.