# Cartesian plane

In the area of mathematics, the **Cartesian coordinate system** or **rectangular ****coordinate** system as it is also known, is used to **determine** each **point** in a unique way within a **plane** by means of two **numbers** , which are generally called the **x coordinate** and the **y coordinate** of the point. To define this type of coordinates, two **perpendicular** directed **lines** are specified , the x-axis or the **abscissa** and the y-axis the **ordinate** , as well as the **length**of the unit, which is marked on both axes. Cartesian coordinate systems can also be used in space where three coordinates are used and in higher dimensions.

## What is the Cartesian plane?

The **Cartesian plane** are two **number ****lines** in **perpendicular** position , one of them **horizontal** and the other **vertical** , which intersect at a **point** known as the **origin** or **zero** of the system.

- Characteristics of the Cartesian plane
- What is it for
- Source
- History
- Parts of the Cartesian plane
- Quadrants
- How to make a Cartesian plane
- Location of points on the Cartesian plane
- Importance
- Example

## Characteristics of the Cartesian plane

The main characteristics that we can observe in a **Cartesian plane** are the following:

- The Cartesian plane is formed by four different
**quadrants**or**areas**that are the product of the**union**between**two perpendicular lines**or orthogonal coordinates. - It has
**two axes**that are also known as the**abscissa****axis**. - One of its axes is located
**horizontally**and is identified by the**letter X.** - The ordinate axis is located
**vertically**and is represented by the**letter Y.** - It is characterized by the
**union**of two**perpendicular lines**that divide a plane into four different quadrants. - Its purpose is to be able to describe the
**position of**two points represented by the**coordinates**or**ordered pairs**.

## What is it for

The Cartesian plane helps us to locate **pairs** of **points** that are known by the name of **coordinates** which are formed with an **X value** and a **Y value.** It also serves to be able to make an **analysis** of some of the **geometric figures such** as the parabola, hyperbole , line, circumference, and the eclipse, which are all part of **analytic geometry . **It also works as a reference in any plane that exists.

## Source

The origin of the Cartesian plane was born with **René Descartes,** who in turn was the creator of analytical geometry.

## History

The history of the Cartesian plane originated when **Descartes** took a starting point in the **Cartesian reference system** in order to represent the **plane geometry** that existed between two **perpendicular** lines , which intersected at a certain point that he called **coordinates** .

## Parts of the Cartesian plane

The parts that the Cartesian plane has are the following:

**The horizontal line**: the term refers to the**abscissa**or**x****axis**and is represented by the letter**X.**The points that are located on the**abscissa**axis have their ordinate that is equal to**0**while the points that They are located on the ordinate axis and have their abscissa equal to the value 0. The points found on the same**vertical line**, which is parallel to the ordinate axis, have the same**abscissa**.**The vertical line: it**is also known as the**ordinate**or**yes**, it is represented by the letter y. The points that are located on the**ordinate****axis**have their**abscissa**equal to the**value 0.****The point of intersection**: this point is responsible for**dividing**or**cutting**the two vertical and horizontal**lines, it**is also known by the name of**origin**.

## Quadrants

The Cartesian plane is generally divided into **four parts** that are known as **quadrants** . These quadrants are organized in an **anti-clockwise direction,** that is, they go counterclockwise. They are called the first, second, third and fourth quadrants respectively.

- The
**first quadrant**is the one that is located in the**upper right**part and that includes only**positive numbers**on the ordinate axis. - The
**second quadrant**is located in the**upper left**part and includes only the**positive numbers**of the Y ordinate axis. - The
**third quadrant**is that it is located in the**lower left**part and in this place only the**negative**numbers of the two axes are taken into account . - The
**last quadrant**is at the**bottom**of the Cartesian plane and encompasses**negative**numbers .

## How to make a Cartesian plane

The steps to be able to make a Cartesian plane are the following:

- Remember that the
**X axis**goes to the**left**and right, and the second coordinate is on the**Y axis. Also,****positive**numbers go to the right and**negative**numbers go to the left. - Locate the
**quadrants**of the Cartesian plane. - Begin to
**graph**a point at zero that is the**intersection**between the X axis and the Y axis. - If the coordinates are
**positive**it should be moved to the**right**, if they are**negative**to the**left**. - Then the
**point**is**marked**.

## Location of points on the Cartesian plane

In order to locate or locate the points in a Cartesian plane we must follow the following procedure:

- First, to be able to locate the
**abscissa**or the value of**x**, the**units**that correspond to the right if they are**positive**or to the left in case they are**negative**must be counted , this from the point of origin, in this case the number zero. - From the point where the value of X was located, the corresponding
**units**must be counted**up**if they are**positive**or**down**if they are**negative**so that any point can be located depending on its**coordinates**.

In order to determine the **coordinates** of a given point in the Cartesian plane, the **units** that correspond on the **x- ****axis** to the right or to the left must be found depending on whether they are **negative** or **positive** .

## Importance

The importance of the Cartesian plane lies in the fact that it can represent **points** or **figures** in different **coordinates** . In the area of **physics it** is very important because it is the means by which it is known how **forces** can **affect** a point, how **electromagnetism** affects the charges that a particle has.