X and Y Axis
What are the Uses of the X-axis and Y-axis in Mathematics?
The X-axis and Y-axis are used to represent the horizontal and vertical number lines in the Cartesian coordinate system. They help locate points on a two-dimensional plane and are crucial for graphing functions and analyzing data.
How to Plot Points on Coordinate Plane?
To plot a point (X, Y), start at the origin (0, 0) and move horizontally X units along the X-axis and vertically Y units along the Y-axis to locate the point.
How to Plot a Linear Equation?
To plot a linear equation, find several points that satisfy the equation by choosing different X values and calculating the corresponding Y values. Plot these points on the coordinate plane and connect them with a straight line.
Can a Point lie on both X-axis and Y-axis at Same Time?
No, a point cannot lie on both the X-axis and Y-axis simultaneously. If a point lies on the X-axis, its Y-coordinate will be zero, and if it lies on the Y-axis, its X-coordinate will be zero.
What is Origin (0, 0) in Cartesian Coordinate System?
The origin is the point of intersection of the X-axis and Y-axis. It serves as the reference point for all coordinates on the plane, and its coordinates are (0, 0).
What are 4 Quadrants in Cartesian Coordinate System?
Four quadrants in cartesian coordinate system are,
- First Quadrant: X and Y coordinates are both positive (+, +)
- Second Quadrant: X coordinate is negative, Y coordinate is positive (-, +)
- Third Quadrant: X and Y coordinates are both negative (-, -)
- Fourth Quadrant: X coordinate is positive, Y coordinate is negative (+, -)
X and Y Axis
X and Y Axis are the foundation of the Cartesian coordinate system as well as graphs in mathematics. The x-axis and y-axis are crucial components of the coordinate plane, with the x-axis serving as a horizontal number line and the y-axis as a vertical number line. They intersect at right angles to create the coordinate plane. The x-axis is referred to as the abscissa, while the y-axis is known as the ordinate.
In this article, we will explore both the X-axis and well Y-axis in varying detail. Other than that, we will also learn equations of the x and y axis, and learn how to plot the point on either the x-axis or y-axis or in the cartesian coordinate as well.
Table of Content
- What is the Cartesian Coordinate System?
- What is X-Axis?
- Positive and Negative X-Axis
- Equation of X-Axis
- What is Y-Axis?
- Positive and Negative Y-Axis
- X and Y Axis on Graph
- Plotting Points on X and Y Axis
- Axis and Quadrants of Cartesian Plane
- X and Y Axis Examples
- Practice Problems on X and Y Axis