JUMP TO TOPIC

# Abscissa|Definition & Meaning

## Definition

The **abscissa** is defined as the x-coordinate or horizontal axis of a point in a 2-dimensional plane of **Cartesian** coordinates. The **abscissa** is the length from the y-axis calculated **parallel** to the x-axis. The Abscissa is the x-coordinate in plane Cartesian coordinates of a point and it is the **measure** of the distance from the y-axis parallel to the x-axis. Astronomers and physicists often utilize the term abscissa to direct to the axis itself rather than the **distance** along it.

In **common **usage, the abscissa directs to the **(x) coordinate**. To denote the **(y) coordinate** the term **ordinate** is being used in standard two-dimensional plains. The terms **Abscissa** and **ordinate** help to explain the two-dimensional **graphs.**

## Abscissa and Ordinate

The main difference between the **abscissa** and **ordinate** is that the abscissa refers to the **y-axis** and the **ordinate** refers to the **y-axis.** The detail of their **differences** is explained in the below **paragraph.** The **abscissa** is also called the x-axis of the point and is the **distance** of a point from the y-axis, rising with the x-axis. On the other hand, the **ordinate** which is also named the y-axis is the length of a point from the x-axis **rising** with the y-axis.

For instance, assume (x, y) is given as an **ordered** pair. Y is the ordinate, y-axis, or vertical axis here and similarly, x is the abscissa, x-axis, or **horizontal** axis here. An ordered pair is operated to **indicate** a point in the Cartesian plane and the first coordinate (x) in the plane is named the abscissa, and the second coordinate (y) in the plane is the **ordinate.**

The **length **of a point from the y-axis **rising **with the x-axis is named **abscissa**. In mathematics, the abscissa and the ordinate refer to the first and second coordinates of a point in a Cartesian coordinate system. Both the **Abscissa** and **Ordinate** define the locations of the point in the **Cartesian** two-dimensional plane. By using the abscissa and the ordinate a pattern or a trend of the data can also be **extracted** by looking at the points.

## Understanding Abscissa Using Figures

We will illustrate the **Abscissa** and **Ordinate** using different graphs.

Figure 2 shows the **two-dimensional** graph, The **horizontal** axis is from the range **0 to +6** and whereas the **vertical** axis has a range from **0 to +2**, There is a point **located** at the location **(5, 2)**, The notation **(5, 2)** means that the **point** has **abscissa** of 5 and the **ordinate** of 2. Point **(5, 2)** has a distance of **5** from the origin on the **x-axis** and a distance of 2 from the **origin** on the y-axis.

**Figure** **3** shows the two-dimensional **cartesian** plane, The **horizontal** axis is in the range **-4 to +3** and whereas the **vertical** axis has a range from **0 to +3**, There is a **point** at the place **(-3, 3)**, The inscription **(-3, 3)** means that the **point** has abscissa of **-3** and the ordinate of **3**. The point **(-3, 3)** has a distance of **-3** from the **origin** on the x-axis and a distance of **3** from the origin on the **y-axis.**

## Further Explanation: Abscissa and Data Representation

The abscissa is a term related to a **two-dimensional** graph and the goal of a graph is to visually **represent** a set of data in a way that all of the data can be seen **simultaneously** processed by the **interpreter.** A graph is normally shown on a **two-dimensional** medium and thus the simplest graphs to interpret that demand the least technical **training** for both the presenter and the **observer** are also formed in two dimensions.

Some graphs can be **three-dimensional,** but due to the sophistication of **delivering** a graphing system of three dimensions on a two-dimensional portative medium, particular **training** is needed to create and interpret such a chart so these **communications** are generally not as widely spread as the much more universally involved **two-dimensional** graphs.

A two-dimensional graph is commonly constructed on a duo of **perpendicular** axes, one instructed in the vertical direction that is ordinate, the other is oriented in the horizontal direction that is **abscissa,** which resembles the Cartesian **coordinate** approach as the **‘abscissa’** and the **‘ordinate’,** respectively. Where the two axes meet is directed to as the origin of a **Cartesian** plane.

Origin(0, 0)

The **Cartesian** ritual permits negative numbers to the left and the **lowered** side of the origin along these two axes and whole or **positive** values to the right and vertically upward of the origin. Therefore data from a **collection** of data in a table, or functional weights from mathematical formulas yield well in a **Cartesian** methodology.

A pictorial survey of all the **data** simultaneously devised on a **Cartesian** plane permits the viewer to **detect** trends, patterns, anomalies, and different data and functional **elements** in this production that would be less recognizable if it were **introduced** as a list or in table form. It is for this cause that **graphs** are a famous medium for **depicting** raw data accumulated in **tables.**

\[ \displaystyle (\overbrace {x} ^{\displaystyle {\text{abscissa}}},\overbrace {y} ^{\displaystyle {\text{ordinate}}}) \]

A **point** is a primary connection depicted on a **graph.** Every point is **represented** by a pair of numerals **containing** two coordinates. A **coordinate** is one of a bunch of numbers **utilized** to specify the spot of a **point** on a graph. Each point is **determined** by both an x and a y **coordinate** that is **abscissa** and **ordinate** respectively.

## An Example of Finding the Abscissa From a Graph

**Identify** the number of points in the **below** graph and further define the **abscissa** and **ordinate** of the points.

### Solution

In **figure 3,** there are two **points. **One is **A,** having **coordinates** **(2, 2),** and the second is B having the **coordinates (5, 4)**. Point **A(2, 2)** has **abscissa** of **2** and ordinate of **2** as well, whereas point **B(5, 4)** has abscissa **5** and ordinate **4**.

*All mathematical drawings and images were created with GeoGebra. *