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Chapter 1: Problem 61

What is the rectangular coordinate system?

Short Answer

Expert verified
A rectangular coordinate system is a 2-dimensional graphical representation system, divided into four quadrants, used for plotting the positions of points on a plane using pairs of numerical coordinates. Each pair of coordinates, (x,y), represents the horizontal and vertical distances from the origin (0,0). This system is fundamental in mathematics and its applications in fields like engineering and statistics.

Step by step solution

01

Definition of Rectangular Coordinate System

A rectangular coordinate system is a type of two-dimensional graphical representation system. It allows the plotting of points on a plane using pairs of numerical coordinates. These coordinates, usually referred to as (x,y), represent the horizontal (x) and vertical (y) distances of the point from the origin, which is the point (0,0).
02

Quadrants of the Rectangular Coordinate System

The rectangular coordinate system is divided into four quadrants. These quadrants are named in counter-clockwise order starting from the top-right quadrant which is quadrant I. A point in this quadrant will have both x and y coordinates as positive. Quadrant II to the top left will have x coordinate negative and y positive. Quadrant III to the bottom left will have both x and y coordinates as negative, while Quadrant IV to the bottom right will have x coordinate positive and y negative.
03

Understanding the Role of Rectangular Coordinate System

The rectangular coordinate system plays a critical role in mathematics and related fields such as physics and engineering. It's extensively used in plotting graphs of linear and non-linear functions, solving geometric and algebraic problems, and representing real-world phenomena for example in data analytics and statistics.

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