Problem 20 In which quadrant or on which ax... [FREE SOLUTION]

91影视

Intermediate Algebra : Concepts and Applications

Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

10 Edition

Chapter 2: Problem 20

In which quadrant or on which axis is each point located? $(1,-5)$

Short Answer

Expert verified

Quadrant IV

Step by step solution

Identify the coordinates

The given point is (1, -5). Here, 1 represents the x-coordinate and -5 represents the y-coordinate.

Determine the sign of each coordinate

In the point (1, -5), the x-coordinate is positive and the y-coordinate is negative.

Locate the point based on the sign of the coordinates

A point with a positive x-coordinate and a negative y-coordinate is located in Quadrant IV.

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.

x-coordinate

The x-coordinate is a crucial part of any point on the coordinate system. It tells you how far to move horizontally from the origin (0,0). The x-coordinate can be positive or negative:

If it's positive, you move right.
If it's negative, you move left.

For example, in the point (1, -5), the x-coordinate is 1. This means you move 1 unit to the right from the origin.
Understanding how the x-coordinate works will help you locate points accurately.

y-coordinate

Just like the x-coordinate, the y-coordinate is essential for finding a point on the coordinate plane. It tells you how far to move vertically from the origin (0,0). The y-coordinate can also be positive or negative:

If it's positive, you move up.
If it's negative, you move down.

For example, in the point (1, -5), the y-coordinate is -5. This means you move 5 units down from the origin.
Keep in mind how the y-coordinate works to ensure you're placing points correctly.

positive and negative coordinates

Coordinates can be positive or negative, which determines the direction you move from the origin. Understanding these signs is key:

Positive x-coordinate: move right.
Negative x-coordinate: move left.
Positive y-coordinate: move up.
Negative y-coordinate: move down.

For the point (1, -5):

x-coordinate (1) is positive, so move 1 unit to the right.
y-coordinate (-5) is negative, so move 5 units down.

Combining these moves will accurately locate the point in the coordinate system.

Quadrant IV

The coordinate system is divided into four quadrants. Quadrant IV is located in the lower right section. Here's what characterizes it:

x-coordinate: always positive.
y-coordinate: always negative.

For our point (1, -5):

The x-coordinate (1) is positive.
The y-coordinate (-5) is negative.

So, the point (1, -5) falls in Quadrant IV.
Each quadrant helps in determining the exact position of a point based on the signs of its coordinates.

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In which quadrant or on which axis is each point located? \((1,-5)\)

Short Answer

Step by step solution

Identify the coordinates

Determine the sign of each coordinate

Locate the point based on the sign of the coordinates

Key Concepts

x-coordinate

y-coordinate

positive and negative coordinates

Quadrant IV

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Statistics

Calculus

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.