A rectangular coordinate system, often known as a Cartesian coordinate system, can be used in everyday life. We may measure the total amount of sales or how much cereal was sold on the y-axis, which is the horizontal line, and the date being measured on the x-axis, which is also the horizontal line. This creates **two coordinates**: x/y. These numbers can then be put into a formula to find the area of the rectangle.

The total amount of sales is the height of the rectangle. September 30, 1998, is the first day of the month and therefore the beginning of a new year for calculating **monthly totals**. The number of days in September is 31 so the total amount of sales for **that month** is $10,000 + ($31 \times 100). $ September had income of $3,125 plus an additional $31,250 for the end of the year.

Cereal sold is the base of the rectangle. October through December were 300 boxes each month. That's equal to **300 feet** or 90 meters long. The width doesn't change; it's always 300 feet. The total area of the rectangle is then 90m x 300f = 2,700,000 square feet or 23,000 m2. This is the area of carpet that would need to be bought to cover all the cereal during those three months.

The income statement shows the total revenue received from all sources.

- What are some applications of the rectangular coordinate system in real life?
- How is the coordinate plane used in real life?
- What are the two number lines that form the rectangular coordinate system called?
- What is the coordinate system in mathematics?
- What do you call the horizontal line in a rectangular coordinate system?

In actual life, the Cartesian coordinate plane of x and y works well with many simple scenarios. For example, if you want to plan where to put different pieces of furniture in a room, you may design a two-dimensional grid of the area and choose **an appropriate unit** of measurement. You can also use the coordinate system to locate things accurately relative to each other. For example, if you are constructing something such as a wall clock or map, it is easy to draw lines on a piece of paper to show where the clock should be placed in relation to a particular door or window.

However, the coordinate system has some limitations for more complicated tasks. If you need to represent three dimensions, then another method must be used. One option is to find **another tool** that can handle three-dimensional drawings, such as a CAD program. However, even if you do not have access to these types of programs, there are several methods you can use to create 3D drawings. One way is to use pencil and paper, by drawing flat planes that intersect at **right angles** (90 degrees). You can then mark points on each plane and connect them with straight lines to create the illusion of depth.

Another option is to use symbols. You can buy cubes, balls, and other objects that look like they could be used to create 3D drawings. Then, when you want to add details to your diagram, you can paste them onto the correct plane.

Two crossing perpendicular number lines constitute **the rectangular coordinate system**. The horizontal number line is referred to as the x-axis, while the vertical number line is referred to as the y-axis. These numbers lines can be extended indefinitely in **both directions**.

The origin of coordinates is usually taken to be the lower left corner of the axis. This means that the positive x-direction is to the right and the positive y-direction is up.

The negative numbers lines into the future and the past, respectively. A point with an x-coordinate of negative one and a y-coordinate of negative one is called the negative infinity. It lies on the x-axis above the origin and cannot be reached by **any real number**.

There is also the positive infinity, which is equal to **the negative infinity** plus 1. It is called positive because it is to the right of the origin on the x-axis.

The points on the axes itself are called endpoints. They can be thought of as finite or infinite depending on whether they are counted from zero or not. For example, the x-intercept of the graph of $f(x) = x^3$ is one of **its endpoints** because it's less than or equal to zero but greater than -1.

System of coordinates, A set of reference lines or curves that is used to find locations in space. Points are identified by their distance along a horizontal (x) and vertical (y) axis from a reference point known as the origin (0, 0). Cartesian coordinates may be utilized in three (or more) dimensions as well. They provide a unique representation for any location in space.

In mathematics, a coordinate system is a method of assigning numbers to points in **space or space-like regions** so as to be able to refer to **these points** or regions. This can be done with respect to **some fixed scale**, which determines how the numbers are related to each other. In mathematics, a coordinate system is a method of identifying points in space or space-like regions so as to be able to refer to them using numbers. There are many ways to do this; each has its advantages and disadvantages. Two common methods are list of coordinates or grid of points.

The term "coordinate system" is often used interchangeably with "reference frame", but they are not identical. A reference frame is defined as the set of axes against which coordinates are measured while a coordinate system is a specific choice for those axes. For example, one could use x, y, and z coordinates on a cartesian plane, but there are many other choices for axes that would result in different coordinate systems. For instance, one could use polar coordinates where r and θ identify a point instead of x and y, respectively.

The grid is also known as the rectangular coordinate system, or Cartesian coordinate system, after its creator. Coordinates are expressed in terms of x and y coordinates.

There are two types of coordinates used in mathematics and physics: absolute and relative. In an absolute coordinate system, such as the rectangular coordinate system, there is exactly one representation for any point on the plane. The whole plane can be divided into many rectangles by drawing parallel lines. Within each rectangle, the coordinates identify the exact location of that point. There is only one set of coordinates for any point on the plane; it does not change when we move around the point.

In a relative coordinate system, such as the polar coordinate system, there may be more than one representation for **any point** on the plane. The whole plane can be divided into **many sectors** by drawing circles through the origin. Within each sector, the coordinates identify the location of that point with respect to **some fixed reference point**. There are two sets of coordinates for any point on the plane: one set identifies the position of that point with respect to some fixed reference point, while the other set identifies the position of that point within its own sector.