We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : How To Find Slope Of A Line

$\textup{What is the slope of the linear equation }3y-4x=13\textup{ ?}$

Possible Answers:

$\frac{13}{3}$

$-\frac{3}{4}$

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{4}{3}$

Correct answer:

$\frac{4}{3}$

Explanation:

$\textup{To find the slope, put the equation into }y=mx+b\textup{ format.}$

3y-4x=13

3y=4x+13

$y = \frac{4}{3}x+\frac{13}{3}\;\;\;\;\;\;\textup{slope}=m = \frac{4}{3}$

Report an Error

Example Question #2 : How To Find Slope Of A Line

Which of the following is an example of an equation written in slope-intercept form?

Possible Answers:

y=-x+4

y+x=4

y+x-4=0

-y=x-4

Correct answer:

y=-x+4

Explanation:

Slope intercept form is y=mx+b , where is the slope and is the y-intercept.

y=-x+4 is the correct answer. The line has a slope of and a y-intercept equal to .

Report an Error

Example Question #2 : How To Find Slope Of A Line

If (1,2) and (4,6) are on the same line, what is the slope of the line?

Possible Answers:

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{4}{3}$

Correct answer:

$\frac{4}{3}$

Explanation:

$m=slope=\frac{\Delta y}{\Delta x}=\frac{\left ( y_{2}-y_{1}\right )}{\left ( x_{2}-x_{1}\right )}=$

$\frac{\left ( 6-2\right )}{\left ( 4-1\right )}=\frac{4}{3}$

Report an Error

Example Question #1 : How To Find Slope Of A Line

The equation of a line is:

5x+25y=14

What is the slope of the line?

Possible Answers:

$\frac{14}{25}$

$-\frac{1}{5}$

$-\frac{14}{25}$

$\frac{1}{5}$

Correct answer:

$-\frac{1}{5}$

Explanation:

Solve the equation for y=mx+b

where is the slope of the line:

5x+25y=14

25y=-5x+14

$y=-\left ( \frac{5}{25} \right )x+\frac{14}{25}=-\left ( \frac{1}{5} \right )x+\frac{14}{25}$

$Slope=-\frac{1}{5}$

Report an Error

Example Question #1 : How To Find Slope Of A Line

A line passes through the points (-1,4) and (4,-9) . What is its slope?

Possible Answers:

$\frac{5}{13}$

$\frac{13}{5}$

$-\frac{13}{5}$

- $-\frac{5}{13}$

Correct answer:

$-\frac{13}{5}$

Explanation:

The slope is the rise over the run. The line drops in -coordinates by 13 while gaining 5 in the -coordinates.

Report an Error

Example Question #1 : How To Find Slope Of A Line

What is the slope of the line 2y-4x=12 ?

Possible Answers:

Correct answer:

Explanation:

You can rearrange 2y-4x=12 to get an equation resembling the y=mx+b formula by isolating the . This gives you the equation y=2x+6 . The slope of the equation is 2 (the within the y=mx+b equation).

Report an Error

Example Question #11 : How To Find Slope Of A Line

What is the slope of the line 3y-9x=15 ?

Possible Answers:

Correct answer:

Explanation:

To easily find the slope of the line, you can rearrange the equation to the y=mx+b form. To do this, isolate the by moving the to the other side of the equation. This gives you 3y=9x+15 . Then, divide both sides by 3 to isolate the , which leaves you with y=3x+5 . Now, the equation is in the y=mx+b form, and you can easily see that the slope is 3.

Report an Error

Example Question #3701 : Algebra 1

What is the slope of the line depicted by the equation?

6x+3y=15

Possible Answers:

$m=\frac{5}{2}$

m=-2

$m=\frac{2}{5}$

$m=-\frac{1}{2}$

Correct answer:

m=-2

Explanation:

The equation is written in standard from: $\small Ax+By=C$ . In this format, the slope is $\small -\frac{A}{B}$ .

6x+3y=15

In our equation, $\small A=6$ and $\small B=3$ .

$\small m=-\frac{A}{B}=-\frac{6}{3}$

$\small -\frac{6}{3}=-2$

Report an Error

Example Question #13 : How To Find Slope Of A Line

Find the slope of the line defined by the equation 4x - 6y = 15 .

Possible Answers:

$-\frac{3}{2}$

$\frac{2}{3}$

$\frac{3}{2}$

$-\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

4x - 6y = 15

-4x + 4x - 6y = -4x + 15

- 6y = -4x + 15

$- 6y \div (-6)=\left ( -4x + 15 \right )\div (-6)$

$y =\frac{2}{3 }x- \frac{5}{2}$

The slope is the coefficient of : $m = \frac{2}{3}$

Report an Error

Example Question #11 : How To Find Slope Of A Line

Find the slope of the line that includes points (5,-4) and (8,-2) .

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{6}{13}$

$\frac{1}{6}$

Correct answer:

$\frac{2}{3}$

Explanation:

Use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-2-(-4)}{8-5} = \frac{2}{3}$

Report an Error

View Algebra Tutors

Dalton
Certified Tutor

University of Massachusetts Amherst, Doctor of Philosophy, Mathematics.

View Algebra Tutors

Justin
Certified Tutor

Vanderbilt University, Bachelor, Computer Science, Mathematics, & Philosophy.

View Algebra Tutors

John
Certified Tutor

Arizona State University, Bachelor of Science, Microbiology.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Seattle, Biology Tutors in Phoenix, Reading Tutors in Phoenix, French Tutors in Denver, Biology Tutors in Philadelphia, Statistics Tutors in Phoenix, Biology Tutors in Boston, English Tutors in Houston, Physics Tutors in San Francisco-Bay Area, MCAT Tutors in Houston

Popular Courses & Classes

LSAT Courses & Classes in Denver, SAT Courses & Classes in Seattle, Spanish Courses & Classes in Philadelphia, MCAT Courses & Classes in Seattle, Spanish Courses & Classes in Miami, GMAT Courses & Classes in Chicago, SAT Courses & Classes in Denver, Spanish Courses & Classes in Atlanta, SSAT Courses & Classes in Denver, GMAT Courses & Classes in Washington DC

Popular Test Prep

LSAT Test Prep in Miami, ACT Test Prep in Phoenix, ACT Test Prep in Philadelphia, MCAT Test Prep in Atlanta, SSAT Test Prep in Boston, GMAT Test Prep in Chicago, MCAT Test Prep in Boston, GMAT Test Prep in San Diego, ACT Test Prep in Miami, GRE Test Prep in San Diego

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #2 : How To Find Slope Of A Line

Example Question #2 : How To Find Slope Of A Line

Example Question #2 : How To Find Slope Of A Line

Example Question #1 : How To Find Slope Of A Line

Example Question #1 : How To Find Slope Of A Line

Example Question #1 : How To Find Slope Of A Line

Example Question #11 : How To Find Slope Of A Line

Example Question #3701 : Algebra 1

Example Question #13 : How To Find Slope Of A Line

Example Question #11 : How To Find Slope Of A Line

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: