Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q. 7 (page 713)

Which of the following equations are linear?

a.y=6x+8b.y+7=3xc.y–x=8x2d.4y=8

Short Answer

Expert verified

a.y=6x+8b.y+7=3xd.4y=8

Step by step solution

01

Given information

To find the linear equation of the given equations using the equation of straight line,y=a+bx

02

Explanation

From the given options, compare the equation of straight line y=a+bx

a.y=6x+8satisfies the equation of straight linea=8,b=6

b.y+7=3xsatisfies the equation of straight linea=-7,b=3

d. 4y=8satisfies the equation of straight line a=84,b=0

c. y–x=8x2contains the degree2and it does not satisfies the equation of straight line and it is nonlinear.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where xis the number of endorsements the player has and is the amount of money made (in millions of dollars)

Use regression to find the equation for the line of best fit.

A researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, MI to compare homicide rates and the number of the population that are white males.

a. Use your calculator to construct a scatter plot of the data. What should the independent variable be? Why?

b. Use your calculator’s regression function to find the equation of the least-squares regression line. Add this to your

scatter plot.

c. Discuss what the following mean in context.

i. The slope of the regression equation

ii. The y-intercept of the regression equation

iii. The correlation \(r\)

iv. The coefficient of determination \(r2\).

Graph “year” versus “# flu cases diagnosed” (plot the scatter plot). Do not include pre-1981 data.

For a given line of best fit, you compute that r=–0.7204 using n=8 data points, and the critical value is =0.707. Can the line be used for prediction? Why or why not?

60. The following table shows the poverty rates and cell phone usage in the United States. Construct a scatter plot of the data

Year
Poverty Rate
Cellular Usage per Capita
2003
12.7
54.67
2005
12.6
74.19
2007
12
84.86
2009
12
90.82
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Applied Mathematics

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.

Sign-up for free