GMAT Math : x and y intercept

Study concepts, example questions & explanations for GMAT Math

Create An Account

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Calculating X Or Y Intercept

What is the -intercept of the line x + 2Ay = 4A ?

Possible Answers:

(4A,0)

$\left ( \frac{A}{4},0 \right )$

$\left ( \frac{4}{A},0 \right )$

$\left ( \frac{1}{4},0 \right )$

(4,0)

Correct answer:

(4A,0)

Explanation:

To solve for the x-intercept, substitute 0 for and solve for :

x + 2Ay = 4A

$x+ 2A \cdot 0= 4A$

x= 4A

The -intercept is (4A,0) .

Report an Error

Example Question #2 : Calculating X Or Y Intercept

What is the -intercept of the line Ax + 2Ay = 3A ?

Possible Answers:

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

$\left (0, \frac{3}{2} A \right )$

$\left (0, \frac{2}{3} A \right )$

$\left (0, \frac{3}{2A} \right )$

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

Correct answer:

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

Explanation:

Substitute 0 for and solve for :

Ax + 2Ay = 3A

$A \cdot 0 + 2Ay = 3A$

2Ay = 3A

$2Ay \div 2A = 3A\div 2A$

$y = \frac{3A}{2A} = \frac{3}{2}$

The -intercept is $\left (0, \frac{3}{2} \right )$

Report an Error

Example Question #3 : Calculating X Or Y Intercept

What is the -intercept of a line that includes points (2,5) and (7,1) ?

Possible Answers:

$\left (0, 3\frac{2}{5} \right )$

$\left (0, 6\frac{3}{5} \right )$

$\left (0, 7\right )$

$\left (0, 7\frac{1}{5} \right )$

$\left (0, 6\frac{4}{5} \right )$

Correct answer:

$\left (0, 6\frac{3}{5} \right )$

Explanation:

The slope of the line is

$m = \frac{y _{2}- y _{1}}{x _{2}- x _{1}}=\frac{1- 5}{7- 2} = \frac{-4}{5} = - \frac{4}{5}$

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

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

$y - 5= - \frac{4}{5} \left ( x - 2\right )$

Now substitute x=0 and solve for .

$y - 5= - \frac{4}{5} \left ( 0 - 2\right )$

$y - 5= \frac{8}{5}$

$y = \frac{8}{5} + 5 = \frac{8}{5} + \frac{25}{5} = \frac{33}{5} = 6\frac{3}{5}$

The -intercept is $\left (0, 6\frac{3}{5} \right )$

Report an Error

Example Question #4 : Calculating X Or Y Intercept

Give the area of the region on the coordinate plane bounded by the -axis, the -axis, and the graph of the equation 3x + 4y = 15 .

Possible Answers:

$18\frac{3}{4}$

$9 \frac{3}{8}$

$7\frac{1}{2}$

Correct answer:

$9 \frac{3}{8}$

Explanation:

This can best be solved using a diagram and noting the intercepts of the line of the equation 3x + 4y = 15 , which are calculated by substituting 0 for and separately and solving for the other variable.

-intercept:

3x + 4y = 15

$3x + 4 \cdot 0 = 15$

3x = 15

x = 5

-intercept:

3x + 4y = 15

$3 \cdot 0 + 4y = 15$

4y = 15

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

Now, we can make and examine the diagram below - the red line is the graph of the equation 3x + 4y = 15 :

Triangle_2

The pink triangle is the one whose area we want; it is a right triangle whose legs, which can serve as base and height, are of length $5, 3\frac{3}{4}$ . We can compute its area:

$\frac{1}{2} \cdot 5 \cdot 3\frac{3}{4}= \frac{1}{2} \cdot \frac{5}{1} \cdot \frac{15}{4} = \frac{75}{8} = 9 \frac{3}{8}$

Report an Error

Example Question #1 : X And Y Intercept

What is the -intercept of 3x+2y=2

Possible Answers:

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

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

(3,0)

(2,0)

Correct answer:

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

Explanation:

To solve for the -intercept, you have to set to zero and solve for :

3x+2y=2

3x+2(0)=2

3x=2

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

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

Report an Error

Example Question #941 : Problem Solving Questions

What is -intercept for 3x+2y=2

Possible Answers:

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

(1,0)

(0,1)

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

Correct answer:

(0,1)

Explanation:

To solve for the -intercept, you have to set to zero and solve for :

3x+2y=2

3(0)+2y=2

2y=2

y=1

(0,1)

Report an Error

Example Question #1 : Calculating X Or Y Intercept

A line with slope $-\frac{4}{5}$ includes point (6,N) . What is the -intercept of this line in terms of ?

Possible Answers:

$\left (0, \frac{4}{5}N-\frac{6}{5} \right )$

$\left (0, \frac{4}{5}N-6 \right )$

$\left (0, N+ \frac{24}{5} \right )$

$\left (0, N- \frac{24}{5} \right )$

$\left (0, \frac{4}{5}N+6 \right )$

Correct answer:

$\left (0, N+ \frac{24}{5} \right )$

Explanation:

For some real number , the -intercept of the line will be some point (0,b) . We can set up the slope equation and solve for as follows:

$\frac{y_2-y_1}{x_2-x_1} = m$

$\frac{b-N}{0-6} =-\frac{4}{5}$

$\frac{b-N}{-6} =-\frac{4}{5}$

$\frac{b-N}{-6} \cdot (-6)=-\frac{4}{5}\cdot (-6)$

$b-N = \frac{24}{5}$

$b-N+N =N+ \frac{24}{5}$

$b =N+ \frac{24}{5}$

Report an Error

Example Question #1 : Calculating X Or Y Intercept

Give the $y \;$ -intercept(s) of the graph of the equation

$y = 3x^{2} -2x - 16$

Possible Answers:

(0,-16 )

$\left ( 0, \frac{8}{3}\right )$

(0,3 )

The graph has no $y\;$ -intercept.

(0,-2 )

Correct answer:

(0,-16 )

Explanation:

Substitute 0 for :

$y = 3x^{2} -2x - 16$

$y = 3 \cdot 0^{2} -2 \cdot 0 - 16 = 0 - 0 -16 = -16$

The $y \;$ -intercept is (0,-16)

Report an Error

Example Question #701 : Geometry

Give the -intercept(s) of the graph of the equation

$y = 3x^{2} -2x - 16$

Possible Answers:

$\left ( -8, 0 \right ), ( 2,0)$

$(-2,0), \left ( 8, 0 \right )$

$(-2,0), \left ( \frac{8}{3}, 0 \right )$

$\left ( -\frac{8}{3}, 0 \right ), ( 2,0)$

$\left (-16,0 \right )$

Correct answer:

$(-2,0), \left ( \frac{8}{3}, 0 \right )$

Explanation:

Set y = 0

$y = 3x^{2} -2x - 16$

$3x^{2} -2x - 16 = 0$

Using the -method, we look to split the middle term of the quadratic expression into two terms. We are looking for two integers whose sum is and whose product is $3 \left ( -16 \right ) = -48$ ; these numbers are -8,6 .

$3x^{2} -8x + 6x - 16 = 0$

$\left (3x^{2} -8x \right )+ \left ( 6x - 16 \right ) = 0$

$x \left (3x -8 \right )+ 2 \left (3 x - 8 \right ) = 0$

$\left ( x + 2 \right )\left (3x -8 \right ) = 0$

Set each linear binomial to 0 and solve:

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2

3x - 8 =0

3x - 8+ 8 =0 + 8

3x = 8

$3x\div 3 = 8 \div 3$

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

There are two -intercepts - $(-2,0), \left ( \frac{8}{3}, 0 \right )$

Report an Error

Example Question #1 : Calculating X Or Y Intercept

A line includes (5,3) and (5,9) . Give its -intercept.

Possible Answers:

(0,-3 )

(0,6)

The line has no -intercept.

(0,12)

(0,5)

Correct answer:

The line has no -intercept.

Explanation:

The two points have the same coordinate, which is 5; the line is therefore vertical. This makes the line parallel to the -axis, meaning that it does not intersect it. Therefore, the line has no -intercept.

Report an Error

All GMAT Math Resources

22 Diagnostic Tests 693 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Houston, Statistics Tutors in Philadelphia, Math Tutors in Houston, Chemistry Tutors in Washington DC, English Tutors in Philadelphia, ISEE Tutors in Chicago, ISEE Tutors in Denver, Biology Tutors in Miami, Spanish Tutors in Atlanta, Statistics Tutors in Phoenix

Popular Courses & Classes

LSAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Washington DC, ACT Courses & Classes in Atlanta, GRE Courses & Classes in Phoenix, LSAT Courses & Classes in Denver, ACT Courses & Classes in Seattle, SAT Courses & Classes in Boston, LSAT Courses & Classes in Houston, GMAT Courses & Classes in New York City, MCAT Courses & Classes in Phoenix

Popular Test Prep

ACT Test Prep in Atlanta, LSAT Test Prep in Los Angeles, SSAT Test Prep in Miami, MCAT Test Prep in Chicago, SSAT Test Prep in Seattle, GMAT Test Prep in Boston, ACT Test Prep in Philadelphia, SSAT Test Prep in Los Angeles, ISEE Test Prep in Philadelphia, GRE Test Prep in Seattle

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)

Email address:
Your name:
Feedback:

GMAT Math : x and y intercept

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #1 : Calculating X Or Y Intercept

Example Question #2 : Calculating X Or Y Intercept

Example Question #3 : Calculating X Or Y Intercept

Example Question #4 : Calculating X Or Y Intercept

Example Question #1 : X And Y Intercept

Example Question #941 : Problem Solving Questions

Example Question #1 : Calculating X Or Y Intercept

Example Question #1 : Calculating X Or Y Intercept

Example Question #701 : Geometry

Example Question #1 : Calculating X Or Y Intercept

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details