Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Slope

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Slope

Find the slope of the following line:

y = -8x+12

Possible Answers:

Correct answer:

Explanation:

To find the slope of a line, we will look at the line in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

Now, given the line

y = -8x+12

we can see that .

Therefore, the slope of the line is -8.

Report an Error

Example Question #11 : Slope

Line

Give the slope of the above line.

Possible Answers:

$-\frac{3}{5}$

$\frac{5}{3}$

$\frac{3}{5}$

$-\frac{5}{3}$

Correct answer:

$-\frac{5}{3}$

Explanation:

The slope of a line is defined to be the ratio of rise (vertical change, or change in the value of ) to run (horizontal change, or change in the value of ).

The -intercept of the line can be seen to be at the point five units above the origin, which is (0, 5) . The -intercept is at the point three units to the right of the origin, which is (3,0) . From these intercepts, we can find slope by setting b= 5,a = 3 in the formula

$m = - \frac{b}{a}$

The slope is

$m = - \frac{5}{3}$

Report an Error

Example Question #11 : Slope

What is the slope of the following line? 6x +y-3=-2x-3

Possible Answers:

Correct answer:

Explanation:

Rearrange the terms so that it's in slope-intercept form.

y=mx+b

The slope is the . Add three on both sides.

6x +y-3 +(3)=-2x-3+(3)

6x +y = -2x

Subtract from both sides.

6x +y -6x = -2x-6x

y=-8x

The answer is:

Report an Error

Example Question #11 : Slope

Determine the slope of the line: -y-x = -6x+2

Possible Answers:

$-\frac{6}{5}$

$-\frac{5}{2}$

Correct answer:

Explanation:

The equation will need to be rearranged to slope-intercept form.

y=mx+b

Add on both sides.

-y-x +(y)= -6x+2+(y)

-x = -6x+2+y

Subtract two on both sides, and add on both sides to isolate the variable.

-x +[6x]-(2)= -6x+2+y+[6x]-(2)

Combine like-terms.

y=5x-2

The slope is the coefficient .

The answer is:

Report an Error

Example Question #11 : Slope

Determine the slope of the following line: y-3= 3(-2x+3)

Possible Answers:

$-\frac{2}{3}$

Correct answer:

Explanation:

The following equation is NOT in the proper point-slope format:

y-y_1 = m(x-x_1)

Simplify the equation by expanding the right side.

y-3= 3(-2x)+3(3)

y-3=-6x+9

Add 3 on both sides.

y-3+3=-6x+9+3

y=-6x+12

The equation is now in slope-intercept format.

y=mx+b

The slope is .

Report an Error

Example Question #11 : Slope

Given the points (-1,-2) and (8,-13) , what is the slope of the line connecting the two points?

Possible Answers:

$\frac{15}{7}$

$-\frac{3}{2}$

$-\frac{11}{9}$

$-\frac{7}{11}$

$-\frac{9}{11}$

Correct answer:

$-\frac{11}{9}$

Explanation:

Write the formula for slope.

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

$m =\frac{-13-(-2)}{8-(-1)} = \frac{-11}{9}$

The slope is: $-\frac{11}{9}$

Report an Error

Example Question #15 : Slope

Find the missing x-coordinate of the point (x, 8) if it lies on a line with (-3, 2) with a slope of $\frac{3}{5}$ .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the slope of a line:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Plug in the given points to solve for .

$\frac{8-2}{x-(-3)}=\frac{3}{5}$

$\frac{6}{x+3}=\frac{3}{5}$

3(x+3)=30

x+3=10

x=7

The missing x-coordinate is .

Report an Error

Example Question #12 : Slope

What is the slope of the following line? y= 6x+9y

Possible Answers:

$-\frac{3}{4}$

$\frac{3}{5}$

$-\frac{3}{5}$

$\frac{3}{4}$

Correct answer:

$-\frac{3}{4}$

Explanation:

The equation is not in slope-intercept form: y=mx+b

Rearrange the terms so that it is in that form.

Subtract on both sides.

y-9y= 6x+9y-9y

-8y = 6x

Divide by negative 8 on both sides.

$\frac{-8y}{-8} = \frac{6x}{-8}$

Simplify both fractions.

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

The slope is: $-\frac{3}{4}$

Report an Error

Example Question #12 : Slope

A line includes the points (100,4) and (200, -6) . Give the slope of this line.

Possible Answers:

$-\frac{1}{10}$

$\frac{1}{10}$

Correct answer:

$-\frac{1}{10}$

Explanation:

Given two of the points it passes through, $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ , a line has as its slope

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

Set $x_{1}= 200,x_{2} = 100, y_{1}= -6, y_{2} = 4$ :

$m = \frac{4-(-6)}{100-200} = \frac{10}{-100} = - \frac{10}{100}$

Reduce this by dividing both numbers by greatest common factor 10:

$m =- \frac{10 \div 10}{100 \div 10} =- \frac{1}{10}$ ,

the correct response.

Report an Error

Example Question #12 : Slope

What is the slope of the line with the equation 10x-6y=3 ?

Possible Answers:

$\frac{5}{3}$

$\frac{3}{5}$

$-\frac{1}{2}$

$-\frac{5}{2}$

Correct answer:

$\frac{5}{3}$

Explanation:

Start by putting the equation in slope-intercept form, y=mx+b .

10x-6y=3

6y+3=10x

6y=10x-3

$y=\frac{5}{3}x-\frac{1}{2}$

From the equation, you can see that $m=\frac{5}{3}$ .

$\frac{5}{3}$ must be the slope of the line.

Report an Error

View Tutors

Donald
Certified Tutor

Cleveland State University, Bachelor of Science, Chemistry. University of Southern California, Doctor of Philosophy, Organic ...

View Tutors

Victoria
Certified Tutor

Norte Dame de Namur University, Bachelor in Arts, Sociology. University of San Francisco, Master of Arts, Organizational Lead...

View Tutors

Shweta
Certified Tutor

All India Management Association , Master's/Graduate, Human Resource Management . Indian Law Institute , Master's/Graduate, C...

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SAT Tutors in Dallas Fort Worth, SAT Tutors in New York City, LSAT Tutors in Seattle, Physics Tutors in Phoenix, GMAT Tutors in Seattle, Reading Tutors in San Diego, Math Tutors in Dallas Fort Worth, GMAT Tutors in New York City, Algebra Tutors in Chicago, English Tutors in San Diego

Popular Courses & Classes

SSAT Courses & Classes in Washington DC, SAT Courses & Classes in Phoenix, LSAT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Denver, ISEE Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Chicago, Spanish Courses & Classes in Chicago, SSAT Courses & Classes in New York City, GRE Courses & Classes in Chicago

Popular Test Prep

GRE Test Prep in Washington DC, SAT Test Prep in Washington DC, LSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Los Angeles, SSAT Test Prep in Atlanta, ACT Test Prep in Houston, GMAT Test Prep in Phoenix, SAT Test Prep in Houston, GMAT Test Prep in Miami, LSAT 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

GED Math : Slope

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #11 : Slope

Example Question #11 : Slope

Example Question #11 : Slope

Example Question #11 : Slope

Example Question #11 : Slope

Example Question #11 : Slope

Example Question #15 : Slope

Example Question #12 : Slope

Example Question #12 : Slope

Example Question #12 : Slope

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: