A number line that displayed in horizontal position in a two-dimensional Cartesian coordinate system is called the $x$-axis of two dimensional space.

In Bi-dimensional Cartesian coordinate system, two number lines are bisected at their middle point. One number line is drawn horizontally for measuring the distance of a point from origin in horizontal direction and the number-line is called the $x$-axis of the two dimensional Cartesian coordinate system.

In this example, the $x$-axis is represented by the number line $X’OX$.

In two-dimensional space, the vertical number-line divides the $x$-axis as two parts at origin $(O)$.

The part of the $x$-axis that appears right side of the origin is called the positive $x$-axis. In this case, the ray $\overrightarrow{OX}$ is the positive $x$-axis. Each division in the positive $x$-axis is denoted by the positive integers.

The part of the $x$-axis that appears left side of the origin is called the negative $x$-axis. In this case, the ray $\overrightarrow{OX’}$ is the negative $x$-axis. Each division in the negative $x$-axis is denoted by the negative integers.

In two-dimensional Cartesian coordinate system, the $x$-axis is used to know the distance of any point from the origin by comparing the horizontal distance of the point with the number-line on the $x$-axis. For example, $A$, $B$, $C$ and $D$ are four points in a two-dimensional space.

- The point $A$ is a point above the positive $x$-axis but it is $2$ units away from the origin.
- The point $B$ is a point below the positive $x$-axis but it is also $2$ units away from the origin.
- The point $C$ is a point above the negative $x$-axis but it is $3$ units away from the origin.
- The point $D$ is a point below the negative $x$-axis but it is $4$ units away from the origin.

Thus, the $x$-axis is used to measure the distance of any point from the origin in horizontal direction by comparison.

Latest Math Topics

Jul 20, 2023

Jun 26, 2023

Jun 23, 2023

Latest Math Problems

Jul 01, 2023

Jun 25, 2023

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved