/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 95 What is the rectangular coordina... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 95

What is the rectangular coordinate system?

Short Answer

Expert verified
The rectangular coordinate system is a method for labeling every point in a plane using an ordered pair of numbers, typically written as (x, y), where x is the horizontal position and y is the vertical position. This system includes the x-axis (horizontal line) and y-axis (vertical line) intersecting at a point called the origin (0,0). An example of its use would be plotting the point (2, 3) on the system by moving two units right from the origin (x-axis) and three units upwards (y-axis).

Step by step solution

01

Definition

The rectangular coordinate system鈥攁lso known as the Cartesian coordinate system鈥攑rovides a specific method for labeling every point in a plane or in three-dimensional space. This system uses an ordered pair of numbers or coordinates, written as \((x, y)\), where \(x\) represents the horizontal position and \(y\) represents the vertical position.
02

Description of Components

This system consists of two number lines that intersect at a right angle. The horizontal line is called the x-axis and the vertical line is called the y-axis. The point at which these two axes intersect is called the origin and is denoted as (0,0). Both axes are divided equally and they can measure values positively (to the right or up) and negatively (to the left or down).
03

Example

An example would be plotting the point (2, 3) on the rectangular coordinate system. Starting from the origin, move two units to the right along the x-axis (as \(x = 2\)), and then move three units upwards along the y-axis (as \(y = 3\)). The location arrived at is the representation of the point (2, 3) in the coordinate system.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Exercises \(82-84\) will help you prepare for the material covered in the next section. In each exercise, solve for \(y\) and put the equation in slope- intercept form. $$y-30.0=0.265(x-10)$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The line whose equation is \(y-3=7(x+2)\) passes through \((-3,2)\)

In Exercises \(74-77\), determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Every line in the rectangular coordinate system has an equation that can be expressed in slope-intercept form.

Write an equation in slope-intercept form of the line satisfying the given conditions. The line is perpendicular to the line whose equation is \(3 x-2 y=4\) and has the same y-intercept as this line.

If two lines are parallel, describe the relationship between their slopes.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.