/*! 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 79 Graph each equation in the recta... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 79

Graph each equation in the rectangular coordinate system. $$x=5$$

Short Answer

Expert verified
Draw a vertical line at `x = 5`.

Step by step solution

01

Understand the Equation Type

The equation given is a vertical line equation. The form of the equation is simply `x = c`, where `c` is a constant.
02

Identify `x` Value

Here, the constant `c` is 5, so the equation is `x = 5`. This means that for this line, `x` will always be 5, regardless of the `y` value.
03

Plotting Points

To graph this equation, plot points where `x = 5`. Since `x` is 5 for all `y` values, points can be (5, 0), (5, 1), (5, -1), and so on.
04

Draw the Vertical Line

Connect the plotted points to draw a vertical line passing through `x = 5` and extending infinitely in both directions along 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.

graphing equations
Graphing equations helps us understand the relationship between variables visually. It allows us to see patterns and make predictions. In the case of a vertical line equation like `x = 5`, the goal is to represent all points where the x-coordinate is always 5. This equation doesn't depend on the y-values, meaning the line extends infinitely in the vertical direction. Here鈥檚 an easy way to think about it: if you've ever looked at a ladder, imagine `x` is the side of the ladder that stays in one place while the rungs (y-values) can go up and down.
rectangular coordinate system
The rectangular coordinate system, also known as the Cartesian coordinate system, is a two-dimensional plane defined by an x-axis (horizontal) and a y-axis (vertical). The point where these axes intersect is called the origin, represented as (0,0). This system allows us to plot points and graph lines. For the equation `x = 5`, you'll need to find the place on the x-axis where `x` equals 5. From this point, you draw a vertical line. This system helps to locate points using (x, y) coordinates and visualize mathematical equations.
plotting points
Plotting points on a graph involves marking specific coordinates based on an equation. When graphing `x = 5`, you place each point where the x-coordinate is 5 and the y-coordinate can be any value. For example, mark points at (5, 0), (5, 1), (5, -1) and so on. Each point tells you that you're 5 units to the right of the origin. Connecting these points creates a vertical line. This simple process helps in visualizing equations and interpreting their meaning. Always remember, the more points you plot, the more accurate your graph becomes.

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

Write a formula that expresses the diameter \(d\) of a circle as a function of its circumference \(C\).

Write an inequality of the form \(|x-a| < k\) or of the form \(|x-a| > k\) so that the inequality has the given solution set. HINT: \(|x-a| < k\) means that \(x\) is less than \(k\) units from \(a\) and \(|x-a|>k\) means that \(x\) is more than \(k\) units from \(a\) on the number line. $$(-\infty, 3) \cup(5, \infty)$$

Price of a Burger The price of Elaine's favorite Big Salad at the comer restaurant is 10 cents more than the price of Jerry's hamburger. After treating a group of friends to lunch, Jerry is certain that for 10 hamburgers and 5 salads he spent more than 9.14 dollars, but not more than 13.19 dollars, including tax at \(8 \%\) and a 50 cent tip. In what price range is a hamburger?

Write an inequality of the form \(|x-a| < k\) or of the form \(|x-a| > k\) so that the inequality has the given solution set. HINT: \(|x-a| < k\) means that \(x\) is less than \(k\) units from \(a\) and \(|x-a|>k\) means that \(x\) is more than \(k\) units from \(a\) on the number line. $$(-3,9)$$

Solve \(\frac{x}{2}+4=\frac{x}{6}-3\)
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Decision Maths

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.