Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : x and y Intercept

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : X And Y Intercept

Find the -intercept for the line 2x-y=12 .

Possible Answers:

(-6, 0)

(0, -6)

(6, 0)

(0, 6)

Correct answer:

(6, 0)

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

2x-y=12

y+12=2x

y=2x-12

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

2x-12=0

Now, solve for .

2x=12

x=6

The x-intercept is found at (6, 0) .

Report an Error

Example Question #22 : X And Y Intercept

Find the x-intercept for the line 12x-9y=4 .

Possible Answers:

$(\frac{2}{3},0)$

$(\frac{4}{3}, 0)$

$(\frac{1}{3}, 0)$

$(-\frac{1}{3},0)$

Correct answer:

$(\frac{1}{3}, 0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

12x-9y=4

9y+4=12x

9y=12x-4

$y=\frac{4}{3}x-\frac{4}{9}$

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

$0=\frac{4}{3}x-\frac{4}{9}$

Now, solve for .

$\frac{4}{3}x=\frac{4}9$

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

The x-intercept is found at $(\frac{1}{3}, 0)$ .

Report an Error

Example Question #23 : X And Y Intercept

Find the x-intercept for the line 12x-2y=2 .

Possible Answers:

$(\frac{1}{3}, 0)$

$(-\frac{2}{3}, x)$

(6, 0)

$(\frac{1}{6}, 0)$

Correct answer:

$(\frac{1}{6}, 0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

12x-2y=2

2y+2=12x

2y=12x-2

y=6x-1

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

0=6x-1

Now, solve for .

6x=1

$x=\frac{1}{6}$

The x-intercept is found at $(\frac{1}{6}, 0)$ .

Report an Error

Example Question #24 : X And Y Intercept

Find the x-intercept for the line 10y-5x=25 .

Possible Answers:

$(\frac{3}{5}, 0)$

$(\frac{1}{5}, 0)$

(-5, 0)

$(-\frac{5}{2}, 0)$

Correct answer:

(-5, 0)

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

10y-5x=25

10y=5x+25

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

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

$0=\frac{1}{2}x+\frac{5}{2}$

Now, solve for .

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

x=-5

The x-intercept is found at (-5, 0) .

Report an Error

Example Question #25 : X And Y Intercept

Find the x-intercept for the line 5x-2y=4 .

Possible Answers:

$(\frac{3}{5}, 0)$

$(-\frac{5}{4}, 0)$

$(\frac{5}{2}, 0)$

$(\frac{4}{5}, 0)$

Correct answer:

$(\frac{4}{5}, 0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

5x-2y=4

2y+4=5x

2y=5x-4

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

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

$0=\frac{5}{2}x-2$

Now, solve for .

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

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

The x-intercept is found at $(\frac{4}{5}, 0)$ .

Report an Error

Example Question #26 : X And Y Intercept

Find the x-intercept of the line 3y-6x=21 .

Possible Answers:

(-4, 0)

$(\frac{3}{7}, 0)$

$(-\frac{7}{2}, 0)$

$(\frac{5}{2}, 0)$

Correct answer:

$(-\frac{7}{2}, 0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

3y-6x=21

3y=6x+21

y=2x+7

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

0=2x+7

Now, solve for .

2x=-7

$x=-\frac{7}{2}$

The x-intercept is found at $(-\frac{7}{2}, 0)$ .

Report an Error

Example Question #27 : X And Y Intercept

Find the x-intercept of the line 12x-15y=-6 .

Possible Answers:

$(-\frac{3}{2}, 0)$

$(-\frac{1}{2},0)$

(-2, 0)

(-3, 0)

Correct answer:

$(-\frac{1}{2},0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

12x-15y=-6

15y-6=12x

15y=12x+6

$y=\frac{4}{5}x+\frac{2}{5}$

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

$0=\frac{4}{5}x+\frac{2}{5}$

Now, solve for .

$\frac{4}{5}x=-\frac{2}{5}$

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

The x-intercept is found at $(-\frac{1}{2}, 0)$ .

Report an Error

Example Question #28 : X And Y Intercept

Find the x-intercept of the line 19x+5y=2 .

Possible Answers:

$(-\frac{15}{19},0)$

$(-\frac{19}{2},0)$

$(\frac{5}{19},0)$

$(\frac{2}{19},0)$

Correct answer:

$(\frac{2}{19},0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

19x+5y=2

5y=-19x+2

$y=-\frac{19}{5}x+\frac{2}{5}$

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

$0=-\frac{19}{5}x+\frac{2}{5}$

Now, solve for .

$\frac{19}{5}x=\frac{2}{5}$

$x=\frac{2}{19}$

The x-intercept is found at $(\frac{2}{19}, 0)$ .

Report an Error

Example Question #29 : X And Y Intercept

Find the x-intercept for the line 8x-9y=12 .

Possible Answers:

$(\frac{3}{2},0)$

$(-\frac{2}{3},0)$

$(-\frac{1}{2},0)$

(2, 0)

Correct answer:

$(\frac{3}{2},0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

8x-9y=12

9y+12=8x

9y=8x-12

$y=\frac{8}{9}x-\frac{4}{3}$

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

$0=\frac{8}{9}x-\frac{4}{3}$

Now, solve for .

$\frac{8}{9}x=\frac{4}{3}$

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

The x-intercept is found at $(\frac{3}{2}, 0)$ .

Report an Error

Example Question #30 : X And Y Intercept

Find the x-intercept for the line -8x+2y=1 .

Possible Answers:

$(-\frac{1}{4},0)$

$(-\frac{1}{8},0)$

$(-\frac{3}{8},0)$

$(-\frac{1}{2},0)$

Correct answer:

$(-\frac{1}{8},0)$

Explanation:

Start by putting the equation into y=mx+b form, where is the slope, and is the y-intercept.

-8x+2y=1

2y=8x+1

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

By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .

Plug in for in the equation for this line.

$0=4x+\frac{1}{2}$

Now, solve for .

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

$x=-\frac{1}{8}$

The x-intercept is found at $(-\frac{1}{8}, 0)$ .

Report an Error

View Tutors

Erica
Certified Tutor

Azabu University, Bachelor of Science, Animal Sciences.

View Tutors

Cameron
Certified Tutor

University of Missouri-St Louis, Bachelor of Science, Astrophysics.

View Tutors

David
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Molecular Biology. University of California-San Diego, Master of Scie...

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Denver, SAT Tutors in Philadelphia, French Tutors in Chicago, Math Tutors in Seattle, SSAT Tutors in Dallas Fort Worth, Biology Tutors in Washington DC, French Tutors in San Diego, French Tutors in Houston, Statistics Tutors in Seattle, SAT Tutors in Houston

Popular Courses & Classes

Spanish Courses & Classes in Miami, SAT Courses & Classes in New York City, LSAT Courses & Classes in Los Angeles, SAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Phoenix, SSAT Courses & Classes in Philadelphia, ACT Courses & Classes in Houston, GRE Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Boston, LSAT Courses & Classes in Washington DC

Popular Test Prep

SAT Test Prep in Washington DC, SSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Houston, ACT Test Prep in Houston, SSAT Test Prep in Washington DC, GMAT Test Prep in Seattle, MCAT Test Prep in Miami, SAT Test Prep in Denver, MCAT Test Prep in Denver, SSAT Test Prep in Miami

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

Intermediate Geometry : x and y Intercept

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #21 : X And Y Intercept

Example Question #22 : X And Y Intercept

Example Question #23 : X And Y Intercept

Example Question #24 : X And Y Intercept

Example Question #25 : X And Y Intercept

Example Question #26 : X And Y Intercept

Example Question #27 : X And Y Intercept

Example Question #28 : X And Y Intercept

Example Question #29 : X And Y Intercept

Example Question #30 : X And Y Intercept

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: