Plotting Ordered Pairs in Cartesian Coordinate System

According to the story, what was René Descartes staring at when he realized he could describe its location using perpendicular lines?

What are the two numbers used to locate an object in a two-dimensional plane?

What is the point at which the two axes cross called?

In which direction do the positive numbers increase on the y-axis?

How many sections does the Cartesian coordinate system divide the plane into?

What is the name of the system that René Descartes introduced?

How are the quadrants numbered in the Cartesian coordinate system?

What is the label of the lower right section of the Cartesian coordinate system?

What is represented by the arrowheads in Figure 3?

How is a point in the plane identified?

What is an ordered pair also known as?

How is the point (3, -1) represented in the plane?

What is the primary purpose of a rectangular coordinate system?

How can the x-axis and y-axis be divided and labeled?

What can the axes in a rectangular coordinate system represent?

The Cartesian coordinate system is a grid system with perpendicular axes, introduced by René Descartes, a 17th-century philosopher and mathematician.
The system is based on a two-dimensional plane consisting of a horizontal axis (x-axis) and a vertical axis (y-axis).
The axes divide the plane into four sections, called quadrants, numbered counterclockwise: I, II, III, and IV.

The x-axis is the horizontal axis, and the y-axis is the vertical axis.
The center of the plane is the origin, or point (0,0), where the two axes cross.
Each axis is divided into equal units, with increasing positive numbers to the right on the x-axis and up the y-axis, and decreasing negative numbers to the left on the x-axis and down the y-axis.

Each point in the plane is identified by its x-coordinate (horizontal displacement from the origin) and its y-coordinate (vertical displacement from the origin).
The x- and y-coordinates are written together as an ordered pair, (x,y), indicating the combined distance from the origin.
An ordered pair is also known as a coordinate pair, consisting of x- and y-coordinates.

A point in the plane can be represented by moving horizontally and vertically from the origin according to its x- and y-coordinates.
For example, the point (3,−1) can be represented by moving three units to the right of the origin and one unit down.