/*! 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 4 Using ordered pair notation, wha... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 4

Using ordered pair notation, what are the coordinates of the origin?

Short Answer

Expert verified
Answer: (0, 0)

Step by step solution

01

Understand the Cartesian coordinate system

In a Cartesian coordinate system, we have two axes: the horizontal x-axis and the vertical y-axis. Points within the coordinate system are represented by ordered pairs (x, y) where x is the horizontal distance from the y-axis and y is the vertical distance from the x-axis.
02

Identify the origin

The origin is the point where the x-axis and the y-axis intersect. At this point, both the horizontal distance (x) and the vertical distance (y) from the axes are equal to zero.
03

Express the coordinates of the origin in ordered pair notation

As both x and y distances at the origin are zero, the ordered pair notation for the coordinates of the origin is (0, 0).

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Origin
The origin is a fundamental concept in the Cartesian coordinate system. It is the unique point where the x-axis and the y-axis intersect.
In essence, the origin serves as the reference point for the entire grid. Both horizontal and vertical positions on the plane are measured from this point.
  • Located at (0, 0)
  • All distances along the axes are measured relative to it
  • Represents the starting point in a rectangular coordinate grid
This means that any shift away from the origin will have a corresponding x and y value, forming an ordered pair.
Ordered Pair Notation
In the Cartesian coordinate system, every point is expressed using ordered pair notation. This notation takes the form \((x, y)\), where:
  • The first value, x, denotes the position on the horizontal x-axis
  • The second value, y, indicates the position on the vertical y-axis
Think of it as an address on the coordinate plane - each "address" tells you exactly how far left, right, up, or down to go from the origin to locate the point.
Ordered pairs are foundational in graphing and geometry, working like GPS coordinates to pinpoint exact locations on a plane.
Axes Intersection
The intersection of the axes is a notable feature in the Cartesian coordinate system. This intersection occurs at the origin, where both axes cross each other at right angles.
  • The x-axis runs horizontally from left to right
  • The y-axis runs vertically from top to bottom
  • Both axes intersect at (0, 0), creating a reference point
Together, they divide the plane into four quadrants. These quadrants help in identifying the general position and direction of ordered pairs on the graph.
The axes, and their intersection, simplify the task of locating points on a 2D plane by providing a structured and organized framework.

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

Determine the slope and \(y\) -intercept of the lines. $$ y=x $$

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=-5, \quad(2,-3) $$

Determine the slope and \(y\) -intercept of the lines. $$ 7 y+3 x=10 $$

Determine the slope and \(y\) -intercept of the lines. $$ y=4 x+10 $$

Write the equation of the line using the given information. Write the equation in slope-intercept form. $$ m=-1, \quad(2,0) $$
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

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.