Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Parallel 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 #1 : How To Find The Equation Of A Parallel Line

Find a line parallel to

y=2x-4

Possible Answers:

y=-2x-4

y=-2x+4

$y=\frac{1}{2}x+4$

y=2x+4

y=2x-4

Correct answer:

y=2x+4

Explanation:

y=2x+4

A parallel line will have the same value, in this case , as the orignal line but will intercept the y-axis at a different location.

Report an Error

Example Question #1 : How To Find The Equation Of A Parallel Line

Which of the following lines are parallel to the line defined by the equation:

3y=x-2

Possible Answers:

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

$y=\frac{x}{3}+72$

3y=2x-2

y=x-3

3y=x-7

Correct answer:

$y=\frac{x}{3}+72$

Explanation:

Parallel means the same slope:

3y=x-2

y=mx+b

Solve for :

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

$m=\frac{1}{3}$

Find the linear equation where

$m=\frac{1}{3}$ .

$y=\frac{x}{3}+72$

Report an Error

Example Question #1 : How To Find The Equation Of A Parallel Line

What is the equation of the line parallel to y=4x+2 that passes through (1,1)?

Possible Answers:

$y=-\frac{x}{4}-\frac{5}{4}$

y=4x+3

$y=-\frac{x}{4}+\frac{5}{4}$

y=4x-3

Correct answer:

y=4x-3

Explanation:

The line parallel to y=4x+2 will have the same slope.

The equation for our parallel line will be: $\ y=4x+b$ .

Using the point (1,1) we can solve for the y-intercept:

1=4(1)+b

$\ 1=4+b$

1-4=b

-3=b

Report an Error

Example Question #1 : How To Find The Equation Of A Parallel Line

Which of these lines is parallel to 4y+2x=6 ?

Possible Answers:

y=-2x+5

y=4x-1

$y=-\frac{1}{2}x-4$

$y=\frac{1}{2}x-11$

y=2x-3

Correct answer:

$y=-\frac{1}{2}x-4$

Explanation:

Parallel lines have identical slopes. If you convert the given equation to the form y=mx+b , it becomes

$y=-\frac{1}{2}x+\frac{3}{2}$

The slope of this equation is $-\frac{1}{2}$ , so its parallel line must also have a slope of $-\frac{1}{2}$ . The only other line with a slope of $-\frac{1}{2}$ is

$y=-\frac{1}{2}x-4$

Report an Error

Example Question #1 : How To Find The Equation Of A Parallel Line

Which of these lines is parallel to

2y-3x=8?

Possible Answers:

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

$y=\frac{3}{2}x-6$

None of the other answers are correct.

y=3x+4

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

Correct answer:

$y=\frac{3}{2}x-6$

Explanation:

Parallel lines have identical slopes. To determine the slope of the given line, convert it to y=mx+b form:

2y = 3x + 8

$y=\frac{3}{2}x+4$

This line has a slope of $\frac{3}{2}$ .

The only answer choice with a slope of $\frac{3}{2}$ is $y=\frac{3}{2}x-6$ .

Report an Error

Example Question #6 : How To Find The Equation Of A Parallel Line

Choose which of the four equations listed is parallel to the given equation.

$y=\frac{3}{4}x+7$

Possible Answers:

$y=-\frac{4}{3}x+7$

$2y=\frac{3}{4}+9$

$2y=\frac{3}{2}x+3$

$y=-\frac{3}{4}x$

Correct answer:

$2y=\frac{3}{2}x+3$

Explanation:

$2y=\frac{3}{2}x+3$ is the correct answer because when each term is divided by 2 in order to see the equation in terms of y, the slope of the equation is $\frac{3}{4}$ , which is the same as the slope in the given equation. Parallel lines have the same slope.

Report an Error

Example Question #7 : How To Find The Equation Of A Parallel Line

Write an equation for a line that is parallel to $y=-\frac{1}2{}x+6$ and has a y-intercept of .

Possible Answers:

y=-2x-5

$y=-5x-\frac{1}{2}$

$y=-\frac{1}{2}x-5$

$y=-\frac{1}{2}x+6$

y=2x-5

Correct answer:

$y=-\frac{1}{2}x-5$

Explanation:

The equation of a line can be written using the expression y=mx+b where is the slope and is the y-intercept. When lines are parallel to each other, it means that they have the same slope, so $m=-\frac{1}{2}$ . The y-intercept is given in the problem as . This means that the equation would be $y=-\frac{1}{2}x-5$ .

Report an Error

Example Question #8 : How To Find The Equation Of A Parallel Line

Write the equation for a line parallel to $\small y=\frac{1}{4}x-5$ passing through the point $\small (4, -2)$ .

Possible Answers:

$\small y=\frac{1}{4}x-3$

$\small y=\frac{3}{4}x-6$

$\small y = \frac{3}{4}x-5$

$\small y=\frac{1}{4}x + 3$

Correct answer:

$\small y=\frac{1}{4}x-3$

Explanation:

In order to approach this problem, we need to be familiar with the slope-intercept equation of a line, $\small y=mx+b$ where m is the slope and b is the y-intercept. The line that our line is supposed to be parallel to is $\small y=\frac{1}{4}x-5$ . Lines that are parallel have the same slope, m, so the slope of our new line is $\small \frac{1}{4}$ . Since we don't know the y-intercept yet, for now we'll write our equation as just:

$\small y=\frac{1}{4}x+b$ . We can solve for b using the point we know the line passes though, $\small (4, -2)$ . We can plug in 4 for x and -2 for y to solve for b:

$\small -2 = \frac{1}{4}*4 + b$ first we'll multiply $\small \frac{1}{4}*4$ to get 1:

$\small \small -2 = 1 + b$ now we can subtract 1 from both sides to solve for b:

$\small -3 = b$

Now we can just go back to our equation and sub in -3 for b:

$\small y = \frac{1}{4}x -3$

Report an Error

Example Question #9 : How To Find The Equation Of A Parallel Line

Find the equation of a line that is parallel to y=2x+5 and passes through the point (5,5) .

Possible Answers:

$y=2x+\frac{5}{2}$

None of the other answers.

$y=-\frac{1}{2}x-5$

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

A line cannot pass through this point and be parallel to the original line.

Correct answer:

None of the other answers.

Explanation:

Parallel lines have the same slope. So our line should have a slope of 2x. Next we use the point slope formula to find the equation of the line that passes through (5,5) and is parallel to y=2x+5 .

Point slope formula:

$y-y_{1}=m(x-x_{1})$

y-5=2(x-5)

y-5=2x-10

y=2x-5 is the slope of the line parallel to y=2x+5 which passes through (5,5) .

Report an Error

Example Question #5 : How To Find The Equation Of A Parallel Line

Find the equation of the line parallel to the given criteria: $m=-\frac{3}{2}$ and that passes through the point (2,-5)

Possible Answers:

$y=\frac{2}{3}x-8$

y=x-5

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

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

Correct answer:

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

Explanation:

Parallel lines have the same slope, so the slope of the new line will also have a slope $m=-\frac{3}{2}$

Use point-slope form to find the equation of the new line.

$y-y_{1}=m(x-x_{1})$

Plug in known values and solve.

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

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

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

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

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

Report an Error

View Algebra Tutors

Mariam
Certified Tutor

Yarmouk University, Bachelor of Science, Mathematics. Touro College, Master of Science, Teacher Education, Multiple Levels.

View Algebra Tutors

Tajrin
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Computer Science.

View Algebra Tutors

Alvin
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Computer Science.

All Algebra 1 Resources

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

Popular Subjects

ACT Tutors in Atlanta, Computer Science Tutors in Chicago, Statistics Tutors in Phoenix, French Tutors in Seattle, Algebra Tutors in Washington DC, Biology Tutors in Los Angeles, Algebra Tutors in Philadelphia, English Tutors in Washington DC, Calculus Tutors in San Diego, Biology Tutors in Seattle

Popular Courses & Classes

SSAT Courses & Classes in Boston, SAT Courses & Classes in Seattle, ACT Courses & Classes in San Diego, GRE Courses & Classes in Boston, Spanish Courses & Classes in Phoenix, GMAT Courses & Classes in Houston, ACT Courses & Classes in Atlanta, GRE Courses & Classes in San Diego, LSAT Courses & Classes in Seattle, SSAT Courses & Classes in Denver

Popular Test Prep

GMAT Test Prep in San Diego, SSAT Test Prep in Denver, GMAT Test Prep in San Francisco-Bay Area, ACT Test Prep in San Diego, GMAT Test Prep in Philadelphia, GRE Test Prep in Boston, GRE Test Prep in Dallas Fort Worth, ISEE Test Prep in Phoenix, LSAT Test Prep in Dallas Fort Worth, SAT 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 : Parallel Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : How To Find The Equation Of A Parallel Line

Example Question #1 : How To Find The Equation Of A Parallel Line

Example Question #1 : How To Find The Equation Of A Parallel Line

Example Question #1 : How To Find The Equation Of A Parallel Line

Example Question #1 : How To Find The Equation Of A Parallel Line

Example Question #6 : How To Find The Equation Of A Parallel Line

Example Question #7 : How To Find The Equation Of A Parallel Line

Example Question #8 : How To Find The Equation Of A Parallel Line

Example Question #9 : How To Find The Equation Of A Parallel Line

Example Question #5 : How To Find The Equation Of A Parallel Line

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: