A number line that displayed in vertical position in a two-dimensional Cartesian coordinate system is called the $y$-axis of two dimensional space.
In Bi-dimensional Cartesian coordinate system, there are two number-lines, which are bisected at their middle point but one of them is drawn vertically for measuring the distance of a point from origin in vertical direction. Therefore, the number-line is called the $y$-axis of the two dimensional Cartesian coordinate system.
The $y$-axis is represented by a number-line $YOY’$ in this example. The arrows above and below in number-line $\overleftrightarrow{YY’}$ represents that the straight line can be extended infinitely in both directions.
In two-dimensional space, the horizontal number-line divides the $y$-axis as two parts at origin $(O)$.
The part of the $y$-axis that appears above the origin is called the positive $y$-axis. In this case, the ray $\overrightarrow{OY}$ represents the positive $y$-axis. Every division in the positive $y$-axis is denoted by the positive integers.
The part of the $y$-axis that appears below the origin is called the negative $y$-axis. In this case, the ray $\overrightarrow{OY’}$ denotes the negative $y$-axis. Each division in the negative $y$-axis is represented by the negative integers.
In two-dimensional space, the $y$-axis is used to know the distance of any point from the origin by comparing the vertical distance of the point with the number line on the $y$-axis. For example, $E$, $F$, $G$ and $H$ are four points in a two-dimensional Cartesian coordinate system.
In this way, the $y$-axis is used to measure the distance of any point from the origin in vertical direction by the comparison.
A best free mathematics education website for students, teachers and researchers.
Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.
Learn how to solve the maths problems in different methods with understandable steps.
Copyright © 2012 - 2022 Math Doubts, All Rights Reserved