/*! 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 96 Explain how to graph the equatio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 96

Explain how to graph the equation \(x=2 .\) Can this equation be expressed in slope-intercept form? Explain.

Short Answer

Expert verified
The equation \(x=2\) is graphed as a vertical line passing at the point \(x=2\). It cannot be expressed in slope-intercept form since a vertical line does not have a defined slope and a y-intercept.

Step by step solution

01

Graphing the Equation

To graph the equation \(x=2\), plot a vertical line at \(x=2\) on the Cartesian graph, such line passes through all points with \(x\) coordinate equals 2. This represents all solutions to the equation, which are points of the form \((2,y)\), where y is any real number.
02

Evaluating Slope-Intercept Form

The slope-intercept form of a linear equation is expressed as \(y=mx+b\), where \(m\) is the slope of the line and \(b\) is the y-intercept. The given equation \(x=2\) has no \(y\) term, so it can't be expressed in slope-intercept form due to lacking a 'slope' and 'y-intercept'. A vertical line has an undefined slope and does not intercept the y-axis at any point.

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!

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

Find and simplify the difference quotient $$\frac{f(x+h)-f(x)}{h}, h \neq 0$$for the given function. $$f(x)=\sqrt{x}$$

Use a graphing utility to graph each function. Use \(a[-5,5,1]\) by [-5,5,1] viewing rectangle. Then find the intervals on which the function is increasing, decreasing, or constant. $$g(x)=x^{\frac{2}{3}}$$

Will help you prepare for the material covered in the next section. Find the perimeter and the area of each rectangle with the given dimensions: a. 40 yards by 30 yards b. 50 yards by 20 yards.

A department store has two locations in a city. From 2012 through \(2016,\) the profits for each of the store's two branches are modeled by the functions \(f(x)=-0.44 x+13.62\) and \(g(x)=0.51 x+11.14 .\) In each model, \(x\) represents the number of years after \(2012,\) and \(f\) and \(g\) represent the profit, in millions of dollars. a. What is the slope of \(f ?\) Describe what this means. b. What is the slope of \(g\) ? Describe what this means. c. Find \(f+g .\) What is the slope of this function? What does this mean?

Graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. $$\begin{aligned}x^{2}+y^{2} &=16 \\\x-y &=4\end{aligned}$$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

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.