Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Intermediate Geometry

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 #71 : How To Find X Or Y Intercept

Find the y-intercept of the line that has the equation y+15=-7(x-2) .

Possible Answers:

(0, -1)

(0, -3)

(0, -19)

(0, -13)

Correct answer:

(0, -1)

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, y=mx+b .

y+15=-7(x-2)

y+15=-7x+14

y=-7x-1

Since, b=-1 , the y-intercept must be located at (0,-1) .

Report an Error

Example Question #1581 : Intermediate Geometry

What is the y-intercept of a line that has the equation y-24=-8(x+1) ?

Possible Answers:

(0, 8)

(0, 10)

(0, 24)

(0, 16)

Correct answer:

(0, 16)

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, y=mx+b .

y-24=-8(x+1)

y-24=-8x-8

y=-8x+16

Since, b=16 , the y-intercept must be located at (0,16) .

Report an Error

Example Question #1582 : Intermediate Geometry

What is the y-intercept of a line that has the equation $y+29=-\frac{1}{4}(x+36)$ ?

Possible Answers:

(0, -18)

(0, -29)

(0,-38)

(0, 2)

Correct answer:

(0,-38)

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, y=mx+b .

$y+29=-\frac{1}{4}(x+36)$

$y+29=-\frac{1}{4}x-9$

$y=-\frac{1}{4}x-38$

Since, b=-38 , the y-intercept must be located at (0,-38) .

Report an Error

Example Question #1583 : Intermediate Geometry

What is the y-intercept of the line with the equation?

$y-10=-20(x+\frac{1}{4})$

Possible Answers:

(0, 21)

(0, 5)

(0, 24)

(0, 18)

Correct answer:

(0, 5)

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, y=mx+b .

$y-10=-20(x+\frac{1}{4})$

y-10=-20x-5

y=-20x+5

Since, b=5 , the y-intercept must be located at (0,5) .

Report an Error

Example Question #75 : X And Y Intercept

True or false: The lines of the equations

2x+y = 12

and

x+2y = 12

have the same -intercept.

Possible Answers:

True

False

Correct answer:

False

Explanation:

The -intercept of a line is the point at which it intersects the -axis; its -coordinate at this point is 0, so its -coordinate can be found by substituting 0 for in the equation and solving for . Do this with both equations:

2x+y = 12

$2 \cdot 0 +y = 12$

0+ y = 12

y = 12

The -intercept of the line is at (0, 12) .

x+2y = 12

0+2y = 12

2y = 12

$\frac{2y }{2}= \frac{12}{2}$

y = 6

The -intercept of the line is at (0, 6) .

The two lines have different -intercepts.

Report an Error

Example Question #301 : Coordinate Geometry

True or false: the lines of the equations

y = 6

and

x+ y = 6

have the same -intercept.

Possible Answers:

False

True

Correct answer:

True

Explanation:

The -intercept of a line is the point at which it intersects the -axis; its -coordinate at this point is 0.

The -coordinate of the line of the equation

x+ y = 6

can be found by substituting 0 for in the equation and solving for :

0+ y = 6

y=6

The -intercept of this line is at (0,6) .

The line with equation y = b is a horizontal line with its -intercept at (0,b) , so the -intercept line of the equation y=6 has its -intercept at (0,6) as well.

Both lines indeed have the same -intercept.

Report an Error

Example Question #1581 : Intermediate Geometry

True or false:

The lines of the equations

$y = \frac{2}{5}x+ 117$

and

$y = - \frac{5}{2}x+ 117$

have the same -intercept.

Possible Answers:

False

True

Correct answer:

True

Explanation:

Both equations are given in the slope-intercept form y = mx+b , in which the stand-alone constant is the -coordinate of the -intercept. In both equations, this value is 117, so (0, 117 ) is the -intercept of both equations.

Report an Error

Example Question #1585 : Intermediate Geometry

Find the y-intercept of a line that has a slope of and passes through the point (12, 4) .

Possible Answers:

(0, -14)

(0,5)

(0, 55)

(0, -56)

Correct answer:

(0, -56)

Explanation:

Recall the point-slope form of the equation of a line that has a slope of and passes through the point (x_1, y_1) :

y-y_1=m(x-x_1)

Plug in the given point and the given slope.

y-4=5(x-12)

Rearrange the equation into slope-intercept form.

y-4=5x-60

y=5x-56

The y-intercept for this line is (0, -56) .

Report an Error

Example Question #81 : X And Y Intercept

Give the -coordinate of the -intercept of the line of the equation

8x + 7y = 43

Possible Answers:

$5\frac{3}{8}$

$-\frac{7}{8}$

$6\frac{1}{7}$

$-1\frac{1}{7}$

Correct answer:

$5\frac{3}{8}$

Explanation:

The -intercept of the graph of a function is the point at which it intersects the -axis. The -coordinate is 0, so the -coordinate can be found by substituting 0 for in the equation and solving for :

8x + 7y = 43

8x + 7 (0) = 43

8x +0= 43

8x = 43

Divide both sides by 8:

$\frac{8x }{8}= \frac{43}{8}$

$x= 5\frac{3}{8}$

The -intercept of the graph is at the point $\left ( 5\frac{3}{8} , 0\right )$ .

Report an Error

Example Question #81 : How To Find X Or Y Intercept

Give the -coordinate of the -intercept of the line of the equation

8x + 7y = 43

Possible Answers:

$5\frac{3}{8}$

$-1\frac{1}{7}$

$6\frac{1}{7}$

$-\frac{7}{8}$

Correct answer:

$6\frac{1}{7}$

Explanation:

The -intercept of the graph of a function is the point at which it intersects the -axis. The -coordinate is 0, so the -coordinate can be found by substituting 0 for in the equation and solving for :

8x + 7y = 43

8 (0) + 7y = 43

0+ 7y = 43

7y = 43

Divide both sides by 7:

$\frac{7y }{7}= \frac{43}{7}$

$y = 6\frac{1}{7}$

The -intercept of the graph is at the point $\left (0, 6\frac{1}{7} \right )$ .

Report an Error

View Tutors

Jennifer
Certified Tutor

University of Phoenix-Fairfield County Campus, Bachelor in Arts, Elementary School Teaching.

View Tutors

Adam
Certified Tutor

Guilford College, Bachelor in Arts, General Studies.

View Tutors

Zaliya
Certified Tutor

Kazan Federal University, Master of Arts, Foreign Language Teacher Education.

All Intermediate Geometry Resources

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

Popular Subjects

GRE Tutors in Dallas Fort Worth, Calculus Tutors in Seattle, Statistics Tutors in Washington DC, ACT Tutors in Denver, SAT Tutors in Boston, ISEE Tutors in Los Angeles, Statistics Tutors in San Diego, French Tutors in Denver, Algebra Tutors in Los Angeles, LSAT Tutors in Los Angeles

Popular Courses & Classes

LSAT Courses & Classes in New York City, GMAT Courses & Classes in Washington DC, LSAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Houston, ISEE Courses & Classes in New York City, MCAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Miami, ISEE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Chicago

Popular Test Prep

ACT Test Prep in Houston, SSAT Test Prep in Philadelphia, MCAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Washington DC, GMAT Test Prep in Miami, SSAT Test Prep in San Francisco-Bay Area, GRE Test Prep in Dallas Fort Worth, SSAT Test Prep in Washington DC, LSAT Test Prep in Boston, GMAT Test Prep in Chicago

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 : Intermediate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #71 : How To Find X Or Y Intercept

Example Question #1581 : Intermediate Geometry

Example Question #1582 : Intermediate Geometry

Example Question #1583 : Intermediate Geometry

Example Question #75 : X And Y Intercept

Example Question #301 : Coordinate Geometry

Example Question #1581 : Intermediate Geometry

Example Question #1585 : Intermediate Geometry

Example Question #81 : X And Y Intercept

Example Question #81 : How To Find X Or Y Intercept

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: