GMAT Math : Calculating the slope of a line

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 #81 : Coordinate Geometry

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

Possible Answers:

$\frac{A}{2}$

$-\frac{2}{A}$

$-\frac{1}{2}$

$-\frac{A}{2}$

Correct answer:

$-\frac{1}{2}$

Explanation:

Rewrite this equation in slope-intercept form: y = mx + b , where is the slope.

Ax + 2Ay = 3A

2Ay = - Ax + 3A

$\frac{2Ay}{2A} = \frac{- Ax + 3A}{2A}$

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

The slope is the coefficient of , which is $-\frac{1}{2}$ .

Report an Error

Example Question #2 : Calculating The Slope Of A Line

Give the slope of the line of the equation: 0.4x - 0.5y = 20

Possible Answers:

$\frac{5}{4}$

$\frac{4}{5}$

$-\frac{5}{4}$

$-\frac{4}{5}$

Correct answer:

$\frac{4}{5}$

Explanation:

Rewrite in the slope-intercept form y = mx + b :

0.4x - 0.5y = 20

$\left (0.4x - 0.5y \right )\cdot 10 = 20 \cdot 10$

$\left (0.4x \right )\cdot 10-\left ( 0.5y \right )\cdot 10 = 200$

4x-5y = 200

4x-4x-5y = 200-4x

-5y = -4x+ 200

$-5y \div (-5)=\left ( -4x+ 200 \right )\div (-5)$

$y=\left ( -4x \right ) \div (-5)+\left ( 200 \right ) \div (-5)$

$y= \frac{4}{5}x-40$

The slope is the coefficient of , which is $\frac{4}{5}$ .

Report an Error

Example Question #1 : Calculating The Slope Of A Line

Give the slope of the line of the equation: $\frac{}{}$ $\frac{2}{5}x + \frac{6}{7}y = 9$

Possible Answers:

$-\frac{7}{15}$

$\frac{21}{2}$

$\frac{45}{2}$

$-\frac{15}{7}$

$\frac{12}{35}$

Correct answer:

$-\frac{7}{15}$

Explanation:

Rewrite in the slope-intercept form y = mx + b :

$\frac{2}{5}x + \frac{6}{7}y = 9$

$\frac{2}{5}x - \frac{2}{5}x + \frac{6}{7}y = - \frac{2}{5}x+ 9$

$\frac{6}{7}y = - \frac{2}{5}x+ 9$

$\frac{6}{7}y \cdot \frac{7}{6}=\left ( - \frac{2}{5}x+ 9 \right )\cdot \frac{7}{6}$

$y=- \frac{2}{5}\cdot \frac{7}{6}x+ 9 \cdot \frac{7}{6}$

$y=-\frac{7}{15}x+ \frac{21}{2}$

The slope is the coefficient of , which is $-\frac{7}{15}$

Report an Error

Example Question #681 : Geometry

Give the slope of the line of the equation

5y = x - 7

Possible Answers:

$-\frac{1}{5}$

$\frac{7}{5}$

$-\frac{7}{5}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

Rewrite in the slope-intercept form y = mx + b :

5y = x - 7

$\frac{1}{5} \cdot 5y = \frac{1}{5} \cdot \left ( x - 7 \right )$

$y = \frac{1}{5} x - \frac{7}{5} \right )$

The slope is the coefficient of , or $\frac{1}{5}$ .

Report an Error

Example Question #2 : Calculating The Slope Of A Line

What is the slope of the line that contains (1,4) and (7,10) ?

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{14}{8}$

Correct answer:

Explanation:

The slope formula is:

$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$(1,4)\ and\ (7,10)$

$m= \frac{7-1}{10-4}$

$m= \frac{6}{}6$

Report an Error

Example Question #3 : Calculating The Slope Of A Line

What is the slope of the line that contains (1,2) and (5,2) ?

Possible Answers:

$\frac{6}{4}$

$\frac{1}{4}$

$\frac{4}{6}$

Correct answer:

Explanation:

The slope formula is:

$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$(1,2)\ and\ (5,2)$

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

$m=\frac{0}{4}$

Report an Error

Example Question #11 : Other Lines

What is the slope of the line that contains (-2,-1) and (-8,7) ?

Possible Answers:

$-\frac{3}{4}$

$\frac{3}{4}$

$-\frac{4}{3}$

$\frac{4}{3}$

Correct answer:

$-\frac{4}{3}$

Explanation:

The slope formula is:

$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$(-2,-1)\ and\ (-8,7)$

$m=\frac{7-(-1)}{-8-(-2)}$

$m=\frac{7+1}{-8+2}$

$m=\frac{8}{-6}$

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

Report an Error

Example Question #3 : Calculating The Slope Of A Line

A iine goes through points (6,N + 4 ) and (3,2N + 6) . What is its slope?

Possible Answers:

$\frac{3}{N+2}$

$\frac{N+2}{3}$

$\frac{N-2}{3}$

$\frac{-N-2}{3}$

$\frac{3}{N-2}$

Correct answer:

$\frac{-N-2}{3}$

Explanation:

Substitute x_1= 6 , y_1=N + 4,x_2= 3, y_2 =2N + 6 in the slope formula:

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

$m = \frac{(2N+6 )- (N+4)}{3-6} = \frac{2N+6 -N-4}{-3}= \frac{N+2}{-3} = \frac{-N-2}{3}$

Report an Error

Example Question #1 : Calculating The Slope Of A Line

In the -plane, what is the slope of the line with equation $4x+5y=8$ ?

Possible Answers:

$-\frac{4}{5}$

$4$

$\frac{8}{5}$

$\frac{1}{2}$

$-4$

Correct answer:

$-\frac{4}{5}$

Explanation:

Put the equation in slope-intercept form to solve for the slope:

$y=mx+b$ , where m is the slope and b is the intercept

Rearrange terms: $5y=-4x+8$

Divide by 5: $y=-\frac{4}{5}x+\frac{8}{5}$

slope = $-\frac{4}{5}$

Report an Error

Example Question #91 : Coordinate Geometry

Give the slope of the line with the equation $\frac{4}{3} x = \frac{2}{5} y - 10$ .

Possible Answers:

$\frac{3}{10}$

$\frac{10}{3}$

$\frac{1}{25}$

$\frac{8}{15}$

$\frac{15}{8}$

Correct answer:

$\frac{10}{3}$

Explanation:

Rewrite in slope-intercept form:

$\frac{4}{3} x = \frac{2}{5} y - 10$

$\frac{4}{3} x + 10 = \frac{2}{5} y - 10 + 10$

$\frac{2}{5} y = \frac{4}{3} x + 10$

$\frac{5} {2} \cdot \frac{2}{5} y= \frac{5} {2} \cdot \left ( \frac{4}{3} x + 10 \right )$

$y= \frac{5} {2} \cdot \frac{4}{3} x + \frac{5} {2} \cdot 10$

$y= \frac{10}{3} x +25$

The slope is the coefficient of , which is $\frac{10}{3}$ .

Report an Error

All GMAT Math Resources

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

Popular Subjects

ISEE Tutors in San Francisco-Bay Area, French Tutors in Denver, SAT Tutors in Atlanta, LSAT Tutors in Washington DC, ISEE Tutors in Denver, GMAT Tutors in Denver, SAT Tutors in San Diego, SSAT Tutors in Boston, MCAT Tutors in Houston, English Tutors in San Diego

Popular Courses & Classes

SSAT Courses & Classes in Philadelphia, GRE Courses & Classes in Washington DC, SAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Seattle, SSAT Courses & Classes in Chicago, SSAT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Phoenix, SAT Courses & Classes in Phoenix

Popular Test Prep

SSAT Test Prep in Atlanta, MCAT Test Prep in San Diego, SSAT Test Prep in Miami, SSAT Test Prep in Seattle, ISEE Test Prep in Los Angeles, SSAT Test Prep in San Diego, SSAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Boston, ACT Test Prep in Seattle, ACT Test Prep in New York City

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 : Calculating the slope of a line

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #81 : Coordinate Geometry

Example Question #2 : Calculating The Slope Of A Line

Example Question #1 : Calculating The Slope Of A Line

Example Question #681 : Geometry

Example Question #2 : Calculating The Slope Of A Line

Example Question #3 : Calculating The Slope Of A Line

Example Question #11 : Other Lines

Example Question #3 : Calculating The Slope Of A Line

Example Question #1 : Calculating The Slope Of A Line

Example Question #91 : Coordinate Geometry

All GMAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details