Problem 54 Is the point (0,8) on the \(x\) ... [FREE SOLUTION]

91影视

Chapter 4: Problem 54

Is the point (0,8) on the \(x\) -axis or \(y\) -axis? How do you know? \(\quad\) you know?

Short Answer

Expert verified

The point (0, 8) is on the y-axis because its x-coordinate is 0.

Step by step solution

Identify Coordinates

The given point is (0, 8). This means the x-coordinate is 0 and the y-coordinate is 8.

Understand the Axes

A point lies on the y-axis if its x-coordinate is 0. Similarly, a point lies on the x-axis if its y-coordinate is 0.

Compare Coordinates

Compare the coordinates of the given point (0, 8) with the conditions for being on the x-axis or y-axis. Since the x-coordinate is 0, the point is on the y-axis.

Conclusion

From the coordinates of the point and the conditions for points on x-axis and y-axis, (0, 8) lies on the y-axis.

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.

The x-axis

In the coordinate plane, the x-axis is the horizontal line that runs left to right. This axis represents all possible values of the x-coordinate. Points on the x-axis have their y-coordinate equal to zero. For instance, the point (3, 0) lies on the x-axis because the y-coordinate is zero. Understanding the x-axis is essential for identifying where points lie in a coordinate system.

The y-axis

The y-axis is the vertical line on the coordinate plane that runs up and down. This axis contains all possible values of the y-coordinate. Points on the y-axis have their x-coordinate equal to zero. For example, the point (0, 5) lies on the y-axis because the x-coordinate is zero. In the exercise, the point (0, 8) has an x-coordinate of 0, which confirms it lies on the y-axis.

Coordinates

Coordinates are a pair of numbers (x, y) that define the position of a point on the coordinate plane. The first number is the x-coordinate, which tells you how far left or right the point is from the origin (0,0). The second number is the y-coordinate, which tells you how far up or down the point is from the origin.

To determine the location of a point, always check both coordinates:

If the x-coordinate is 0, the point is on the y-axis.
If the y-coordinate is 0, the point is on the x-axis.
If neither coordinate is 0, the point is somewhere else on the plane.

In summary, the coordinates of a point help you understand its exact position on a two-dimensional plane.

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

Is the point (0,8) on the \(x\) -axis or \(y\) -axis? How do you know? \(\quad\) you know?

Short Answer

Step by step solution

Identify Coordinates

Understand the Axes

Compare Coordinates

Conclusion

Key Concepts

The x-axis

The y-axis

Coordinates

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Statistics

Geometry

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.