/*! 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 38 Graph each ordered pair. $$(5,... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 38

Graph each ordered pair. $$(5,-2)$$

Short Answer

Expert verified
To graph the ordered pair \( (5, -2) \), first locate the x-coordinate 5 on the x-axis and the y-coordinate -2 on the y-axis. Then, starting from the origin (0,0), move 5 units to the right and 2 units down, and plot the point. Finally, label the point with its ordered pair, \( (5, -2) \).

Step by step solution

01

Understand the ordered pair

An ordered pair represents a point on the Cartesian coordinate plane. The ordered pair (5, -2) consists of two coordinates: the x-coordinate, which is 5, and the y-coordinate, which is -2.
02

Locate the x-coordinate

On the x-axis, locate the number 5. This is the x-coordinate of the point we're trying to graph.
03

Locate the y-coordinate

On the y-axis, locate the number -2. This is the y-coordinate of the point we're trying to graph.
04

Plot the point

Start at the origin (0,0) on the Cartesian coordinate plane. Move 5 units to the right along the x-axis, since the x-coordinate is 5. Then, move 2 units down along the y-axis, since the y-coordinate is -2. Plot the point at this location.
05

Label the point

Label the plotted point with its ordered pair, (5, -2). This will make it easy to identify the point on the coordinate plane. Now, you have successfully graphed the ordered pair (5, -2) on the Cartesian coordinate plane.

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.

Cartesian coordinate plane
The Cartesian coordinate plane is a two-dimensional surface used for graphing points, lines, and shapes. It consists of two perpendicular lines called axes. The horizontal axis is known as the x-axis, while the vertical one is the y-axis. These axes intersect at a point called the origin, which has the coordinates (0,0). Each location on the plane is identified by a unique ordered pair of numbers called coordinates. Imagine this plane like a city map: each point has an address based on how far you move horizontally and vertically from the origin. This system is widely used for graphing in mathematics and helps us visualize relationships between numbers and variables.
x-coordinate
The x-coordinate is the first number in an ordered pair. It indicates how far and in which direction to move horizontally on the Cartesian coordinate plane. Positive x-coordinates mean you move to the right of the origin, while negative x-coordinates mean a move to the left. In our example, the x-coordinate is 5, which tells us to move 5 units to the right from the origin. Understanding the x-coordinate helps you identify the precise horizontal position of a point, making it essential for plotting points accurately on the plane.
y-coordinate
The y-coordinate is the second number in an ordered pair, providing the vertical distance to move from the origin on the Cartesian coordinate plane. Positive y-coordinates direct you upward, while negative ones indicate a downward movement. For the point (5, -2), the y-coordinate is -2, instructing us to move 2 units down from our horizontal position after locating the x-coordinate. Recognizing the y-coordinate's role is crucial for determining the exact vertical placement of a point, ensuring accurate plotting on the graph.
plotting points
Plotting points involves determining and marking the location of a point on the Cartesian coordinate plane using an ordered pair. This activity combines understanding of the x-coordinate and y-coordinate to navigate from the origin to the correct position. To plot the point (5,-2), begin at the origin (0,0). Move 5 units right, as directed by the x-coordinate, then 2 units down according to the y-coordinate. Mark the point where you end up and label it with the ordered pair (5, -2). This precise plotting allows us to visualize the position of the point in relation to others on the plane, forming a basis for more complex graphing tasks.

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

Graph each function. $$N(t)=3.5 t+1$$

Write the slope-intercept form (if possible) of the equation of the line meeting the given conditions. perpendicular to \(21 x-6 y=2\) containing \((4,-1)\)

Write an equation of the line perpendicular to the given line and containing the given point. Write the answer in slope-intercept form or in standard form, as indicated. $$24 x-15 y=10 ;(16,-7) ; \text { standard form }$$

Write an equation of the line parallel to the given line and containing the given point. Write the answer in slope intercept form or in standard form, as indicated. $$y=\frac{1}{2} x-5 ;(4,5) ; \text { standard form }$$

Lines \(L_{1}\) and \(L_{2}\) contain the given points. Determine if lines \(L_{1}\) and \(L_{2}\) are parallel, perpendicular, or neither. $$\begin{aligned}&L_{1}:(-3,2),(0,2)\\\&L_{2}:(1,-1),(-2,-1)\end{aligned}$$
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Mechanics 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.