We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : Perpendicular Lines

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 Next →

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

Which of the following is perpendicular to the line described by

y = 3x+5

Possible Answers:

$y=\frac{1}{3}x+5$

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

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

y=-3x+2

y=-3x+7

Correct answer:

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

Explanation:

The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is , this means that the slope of its perpendicular line would be $-\frac{1}{3}$ .

The answer

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

is the only equation listed that has a slope of $-\frac{1}{3}$ .

Report an Error

Example Question #5 : How To Find The Slope Of A Perpendicular Line

Which of the following is perpendicular to the line described by y = -6x+3

Possible Answers:

y = 6x+9

y = -6x+9

$y = -\frac{1}{6}x+9$

$y = \frac{1}{6}x+9$

Correct answer:

$y = \frac{1}{6}x+9$

Explanation:

The answer

$y = \frac{1}{6}x+9$

is the only equation listed that has a slope of $\frac{1}{6}$ .

Report an Error

Example Question #6 : How To Find The Slope Of A Perpendicular Line

Which of the following gives the slope of a line that is perpendicular to y = -3x + 8 ?

Possible Answers:

$\frac{1}{9}$

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

Recall that the slopes of perpendicular lines are opposite reciprocals of one another. As a result, we are looking for the opposite reciprocal of . Thus, we can get that the opposite reciprocal is $\frac{1}{3}$ .

Report an Error

Example Question #7 : How To Find The Slope Of A Perpendicular Line

Find the slope of the line perpendicular to $y + \frac{2}{3}x = 12$ .

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$-\frac{3}{2}$

$-\frac{2}{3}$

$-\frac{1}{12}$

Correct answer:

$\frac{3}{2}$

Explanation:

Put this equation into slope-intercept form, y = mx + b, to find the slope, m.

Do this by subtracting $\frac{2}{3}x$ from both sides of the equation:

$y = -\frac{2}{3}x + 12$

The slope of this line is $-\frac{2}{3}$ .

The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by :

$-\frac{2}{3} \Rightarrow -\frac{3}{2} \Rightarrow -\frac{3}{2} \times -1 \Rightarrow \frac{3}{2}$

Report an Error

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

What is the slope of the line perpendicular to $y=\frac{2}{3}x+\frac{1}{2}$ ?

Possible Answers:

$\frac{1}{3}$

$\frac{2}{3}$

$-\frac{3}{2}$

$-\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$-\frac{3}{2}$

Explanation:

In standard y=mx+b form, is the slope.

The slope of a perpendicular line is the negative reciprocal of the original line.

For our given line, the slope is $\frac{2}{3}$ . Therefore, the slope of the perpendicular line is $-\frac{3}{2}$ .

Report an Error

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

Find the slope of this line: 2x-8y=16.

Possible Answers:

$m=-\frac{1}{4}$

$m=\frac{1}{4}$

$m=\frac{3}{4}$

m=-4

m=4

Correct answer:

$m=\frac{1}{4}$

Explanation:

Isolate for so that the equation now reads

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

The slope is $\frac{1}{4}$ .

Report an Error

Example Question #41 : Algebra I

Which of the following are perpendicular to the line with the formula $y = -\frac{1}{3}X + 3$ ?

I. y = 3X

II. $y = \frac{1}{3}X + 3$

III. $y = \frac{4.5}{1.5}X -3$

Possible Answers:

II and III

I and III

III

Correct answer:

I and III

Explanation:

The slope of a perpendicular line is equal to the negative reciprocal of the original line. This means that the slope of our perpendicular line must be 3. We can also note that $\frac{4.5}{1.5}$ is also equal to 3, so both of these slopes are correct. The y-intercept does not matter, as the slope is the only thing that determines the slant of the line. Therefore, numerals I and III are both correct.

Report an Error

Example Question #2 : How To Find Out If Lines Are Perpendicular

Which of the following lines is perpendicular to y=2x+9 ?

Possible Answers:

$y=-\frac{1}{2}x-12$

y=-2x-5

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

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

y=2x-7

Correct answer:

$y=-\frac{1}{2}x-12$

Explanation:

In order for two lines to be perpendicular to each other, their slopes must be opposites and reciprocals of each other, meaning the fraction must be flipped upside down and the signs must be changed. In this situation, the original equation had a slope of , so the perpendicular slope must be $-\frac{1}{2}$ .

Report an Error

Example Question #3 : How To Find Out If Lines Are Perpendicular

Which of the following lines will be perpendicular to y=2x+5 ?

Possible Answers:

y=x+5

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

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

y=-2x-2

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

Correct answer:

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

Explanation:

Two lines are perpendicular if they have opposite reciprocal slopes. When a line is in standard y=mx+b form, the is the slope. A perpendicular line will have a slope of $-\frac{1}{m}$ .

The slope of our given line is . Therefore we want a slope of $-\frac{1}{2}$ . The only line with the correct slope is $y=-\frac{1}{2}x+1$ .

Report an Error

← Previous 1 2 Next →

View Tutors

Ivan
Certified Tutor

Yale University, Bachelor of Science, Economics. Yale University, Bachelor of Science, Mathematics.

View Tutors

Mahal
Certified Tutor

St. Louis University, Bachelor, Computer Science. Pangasinan State University, Master's/Graduate, Special Education.

View Tutors

Jason
Certified Tutor

Brigham Young University, Bachelor, Neuroscience.

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Statistics Tutors in Houston, Statistics Tutors in Los Angeles, Biology Tutors in Washington DC, Spanish Tutors in Atlanta, Reading Tutors in Miami, GMAT Tutors in Los Angeles, MCAT Tutors in Phoenix, Chemistry Tutors in Denver, GRE Tutors in Atlanta, MCAT Tutors in Philadelphia

Popular Courses & Classes

LSAT Courses & Classes in Miami, MCAT Courses & Classes in Atlanta, ISEE Courses & Classes in Chicago, GMAT Courses & Classes in Houston, SSAT Courses & Classes in Washington DC, SAT Courses & Classes in Boston, GRE Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Washington DC, SSAT Courses & Classes in New York City, SSAT Courses & Classes in Boston

Popular Test Prep

GRE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Phoenix, LSAT Test Prep in Philadelphia, MCAT Test Prep in Boston, MCAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Miami, ISEE Test Prep in Denver, SSAT Test Prep in Houston, ISEE Test Prep in San Francisco-Bay Area

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

High School Math : Perpendicular Lines

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

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

Example Question #5 : How To Find The Slope Of A Perpendicular Line

Example Question #6 : How To Find The Slope Of A Perpendicular Line

Example Question #7 : How To Find The Slope Of A Perpendicular Line

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

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

Example Question #41 : Algebra I

Example Question #2 : How To Find Out If Lines Are Perpendicular

Example Question #3 : How To Find Out If Lines Are Perpendicular

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: