Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : How to find the equation of a parallel line

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Coordinate Geometry

Which of the following is the equation of a line that is parallel to the line 4x – y = 22 and passes through the origin?

Possible Answers:

4x – y = 0

(1/4)x + y = 0

4x = 8y

4x + 8y = 0

y – 4x = 22

Correct answer:

4x – y = 0

Explanation:

We start by rearranging the equation into the form y = mx + b (where m is the slope and b is the y intercept); y = 4x – 22
Now we know the slope is 4 and so the equation we are looking for must have the m = 4 because the lines are parallel. We are also told that the equation must pass through the origin; this means that b = 0.

In 4x – y = 0 we can rearrange to get y = 4x. This fulfills both requirements.

Report an Error

Example Question #1 : Coordinate Geometry

What line is parallel to 2x + 5y = 6 through (5, 3)?

Possible Answers:

y = –2/5x + 5

y = 5/2x + 3

y = 5/3x – 5

y = –2/3x + 3

y = 3/5x – 2

Correct answer:

y = –2/5x + 5

Explanation:

The given equation is in standard form and needs to be converted to slope-intercept form which gives y = –2/5x + 6/5. The parallel line will have a slope of –2/5 (the same slope as the old line). The slope and the given point are substituted back into the slope-intercept form to yield y = –2/5x +5.

Report an Error

Example Question #3 : Coordinate Geometry

What line is parallel to y=2x-1 through (1,-3) ?

Possible Answers:

2x-y=7

-2x+y=-5

x-2y=6

x+3y=11

3x+2y=-4

Correct answer:

-2x+y=-5

Explanation:

The slope of the given line is m=2 and a parallel line would have the same slope, so we need to find a line through (1,-3) with a slope of 2 by using the slope-intercept form of the equation for a line. The resulting line is y=2x-5 which needs to be converted to the standard form to get -2x+y=-5 .

Report an Error

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

Find the equation of a line parallel to $\small y = 2x - 3$ that also passes through the point $\small \left ( 3 , 2\right )$ .

Possible Answers:

$\small \small y = 3x + 4$

$\small y = 3x - 4$

$\small y = 2x - 4$

$\small \small y = 2x + 4$

$\small y = 2x + 3$

Correct answer:

$\small y = 2x - 4$

Explanation:

Since they are parallel, the line will have the same slope as $\small \small y = 2x - 3$ .

Thus, it will take the form $\small \small y = 2x + b$ .

We then use the point (3,2) to solve for $\small b$ :

$\small \left ( 2\right ) = 2\left ( 3\right ) + b$

$\small 2 = 6 + b$

$\small - 4 = b$

so the equation of the line is

$\small y = 2x - 4$

Report an Error

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

In the -plane, the line y=ax-3 is parallel to the line 3y-6x=12 . What is the value of ?

Possible Answers:

Correct answer:

Explanation:

In this equation, is equal to the slope of the line. You have been given a line parallel to the line containing variable , and since parallel lines have the same slope, all you need to do is figure out the slope of 3y-6x=12 in order to figure out what is. To figure out the slope of , you need to convert the equation into y=mx+b form, which means isolating on one side of the equation.

3y - 6x = 12

3y = 12 + 6x

y = 4 + 2x = 2x+4

Given this solution, the slope of the parallel lines, and thus , is equal to 2.

Report an Error

Example Question #3 : How To Find The Equation Of A Parallel Line

Which of the following lines has zero points of intersection with the line, 3x-2y=12 ?

Possible Answers:

$y=\frac{3}{2}x -10$

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

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

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

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

Correct answer:

$y=\frac{3}{2}x -10$

Explanation:

This prompt asks you to find a line that is parallel to the one given. Parallel lines have no points of intersection (as opposed to intersecting lines which have 1 point of intersection). Parallel lines have the same slope, but different y-intercepts. If they had the same y-intercept, then they would actually be the same line.

We can find the slope of the first line by converting it to slope-intercept form.

3x-2y=12

First, subtract 3x from both sides.

-2y=-3x +12

Then, divide both sides by -2.

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

The slope of the line is 3/2. The only answer that has that same slope, but a different y-intercept is $y=\frac{3}{2}x -10$ .

Report an Error

View PSAT Mathematics Tutors

Chase
Certified Tutor

University of Memphis, Bachelor in Arts, Psychology.

View PSAT Mathematics Tutors

Sumit
Certified Tutor

Calcutta University, Bachelor of Science, Mathematics. Indian Statistical Institute, Master of Science, Mathematics.

View PSAT Mathematics Tutors

Eva
Certified Tutor

Technicka Univerzita Liberec, Bachelor of Education, Education.

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Chicago, GMAT Tutors in San Francisco-Bay Area, Algebra Tutors in Denver, GMAT Tutors in Los Angeles, LSAT Tutors in Dallas Fort Worth, Computer Science Tutors in Denver, MCAT Tutors in San Diego, ISEE Tutors in Washington DC, Chemistry Tutors in Seattle, Algebra Tutors in San Francisco-Bay Area

Popular Courses & Classes

SSAT Courses & Classes in Houston, ISEE Courses & Classes in Miami, Spanish Courses & Classes in Philadelphia, SAT Courses & Classes in New York City, ISEE Courses & Classes in San Diego, MCAT Courses & Classes in Miami, GMAT Courses & Classes in Boston, ISEE Courses & Classes in Chicago, GRE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Los Angeles

Popular Test Prep

ISEE Test Prep in Chicago, GMAT Test Prep in New York City, SAT Test Prep in Denver, MCAT Test Prep in Houston, MCAT Test Prep in San Diego, GRE Test Prep in Dallas Fort Worth, MCAT Test Prep in Washington DC, SSAT Test Prep in Boston, LSAT Test Prep in Seattle, LSAT Test Prep in Washington DC

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

PSAT Math : How to find the equation of a parallel line

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #1 : Coordinate Geometry

Example Question #1 : Coordinate Geometry

Example Question #3 : Coordinate Geometry

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 #3 : How To Find The Equation Of A Parallel Line

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: