We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Geometry and Graphs

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 #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

Example Question #21 : Slope

What is the slope of the line that passes through the points (-5, 1) and (-2, 5) ?

Possible Answers:

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{3}{4}$

Correct answer:

$\frac{4}{3}$

Explanation:

Recall the how to find the slope of a line:

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

Plug in the given points.

$\text{Slope}=\frac{5-1}{-2-(-5)}$

Simplify to find the slope.

$\text{Slope}=\frac{5-1}{-2-(-5)}=\frac{4}{3}$

Report an Error

Example Question #21 : Slope

What is the slope of the line that goes through the points (10, 4) and (-5, 6) ?

Possible Answers:

$\frac{2}{15}$

$\frac{15}{2}$

$-\frac{2}{15}$

$-\frac{15}{2}$

Correct answer:

$-\frac{2}{15}$

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 find the slope.

$\text{Slope}=\frac{6-4}{-5-10}=-\frac{2}{15}$

The line has a slope of $-\frac{2}{15}$ .

Report an Error

Example Question #23 : Slope

Find the slope of the line connecting the following points.

(19,47) (99,123)

Possible Answers:

$\frac{9}{20}$

$\frac{19}{20}$

$\frac{19}{80}$

$\frac{77}{80}$

Correct answer:

$\frac{19}{20}$

Explanation:

Find the slope of the line connecting the following points.

(19,47) (99,123)

To find slope, use the following formula.

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

Remember, slope is rise over run.

Now, let's plug and chug to get our answer.

$m=\frac{123-47}{99-19}=\frac{76}{80}$

Now, simplify our answer to get our final answer.

$\frac{76}{80}=\frac{38}{40}=\frac{19}{20}$

So our answer is

$\frac{19}{20}$

Report an Error

Example Question #22 : Slope

What is the slope of the graph?

Linear1 page 001

Possible Answers:

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Slope is $\frac{rise}{run}$ .

We can pick any two points on the graph and count the rise and run. This graph goes through (0,0), so lets pick that point. It also looks like (2,3) is on the graph.

So, from (0,0) to (2,3), you go up 3, and over 2.

This makes our slope $\frac{3}{2}$

Report an Error

Example Question #22 : Slope

Find the slope of the line connecting the points and .

Possible Answers:

$\frac{12}{17}$

$\frac{12}{101}$

$\frac{101}{12}$

$\frac{2}{17}$

Correct answer:

$\frac{12}{101}$

Explanation:

Find the slope of the line connecting the points and .

To find our slope, we need to recall "Rise over Run." This can also be thought of as change in y over change in x.

$\frac{\delta y}{\delta x}=\frac{y_2-y_1}{x_2-x_1}$

Now, all we need to do is plug in our points and solve. It doesn't matter which pairs are x and which are y, but we must keep it consistent.

$\frac{\delta y}{\delta x}=\frac{65-17}{413-9}=\frac{48}{404}$

Now let's simplify:

$\frac{48}{404}=\frac{12}{101}$

So, we get $\frac{12}{101}$ which cannot be reduced, so we are all set!

Report an Error

Example Question #22 : Slope

What is the slope of the line perpendicular to the line running between the points (201,31) and (834,3) ?

Possible Answers:

$\frac{-28}{633}$

$\frac{-633}{28}$

$\frac{28}{633}$

$\frac{34}{1035}$

$\frac{633}{28}$

Correct answer:

$\frac{633}{28}$

Explanation:

Recall that slope is calculated as:

$\frac{rise}{run}$

This could be represented, using your two points, as:

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

Based on your data, this would be:

$\frac{3-31}{834-201}=\frac{-28}{633}$

Remember, the question asks for the slope that is perpendicular to this slope! Don't forget this point! The perpendicular slope is opposite and reciprocal.

Therefore, it is:

$\frac{633}{28}$

Report an Error

Example Question #1 : X Intercept And Y Intercept

Which of the following equations has as its graph a line with -intercept 9?

Possible Answers:

x+ 9 y = 81

9x+ y = 81

x = 9 y + 81

9x = y + 81

Correct answer:

x+ 9 y = 81

Explanation:

The equation in which y = 9 when x=0 is graphed by a line that includes point (0,9) - that is, its -intercept is 9. Therefore, substitute 0 for in each equation and solve for .

x = 9 y + 81

0 = 9 y + 81

9y = -81

y = -9

9x = y + 81

$9 \cdot 0 = y + 81$

0 = y + 81

y = -81

9x+ y = 81

$9 \cdot 0 + y = 81$

0 + y = 81

y = 81

x+ 9 y = 81

0+ 9 y = 81

9 y = 81

y = 9

The correct choice is x+ 9 y = 81 , since (0,9) is a solution of this equation.

Report an Error

Example Question #2 : X Intercept And Y Intercept

Which of the following equations has as its graph a line with -intercept ?

Possible Answers:

9x+ y = 81

9y = x + 81

x + 9y = 81

y = 9x + 81

Correct answer:

y = 9x + 81

Explanation:

The equation in which x = - 9 when y=0 is graphed by a line that includes point (-9,0) - that is, its -intercept is . Therefore, substitute 0 for in each equation and solve for .

9y = x + 81

$9 \cdot 0 = x + 81$

0 = x + 81

x = -81

9x+ y = 81

9x+ 0 = 81

9x = 81

x = 9

x + 9y = 81

$x + 9 \cdot 0 = 81$

x + 0 = 81

x = 81

y = 9x + 81

0= 9x + 81

-81 = 9x

x = -9

The correct choice is y = 9x + 81 , since (-9,0) is a solution of this equation.

Report an Error

View Tutors

Godswill
Certified Tutor

Rivers State University, Bachelor of Engineering, Mechanical Engineering. Texas Southern University, Master of Science, Compu...

View Tutors

Manikya
Certified Tutor

Osmania University, Bachelor of Science, Biology Teacher Education. Osmania University, Master of Science, Biology, General.

View Tutors

Amanda
Certified Tutor

East Carolina University, Bachelor in Arts, Communication, General. East Carolina University, Master of Arts, English.

All GED Math Resources

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

Popular Subjects

MCAT Tutors in Boston, Computer Science Tutors in New York City, Physics Tutors in Washington DC, Math Tutors in Boston, LSAT Tutors in Dallas Fort Worth, Statistics Tutors in Miami, SAT Tutors in New York City, SSAT Tutors in Seattle, SSAT Tutors in San Francisco-Bay Area, LSAT Tutors in Atlanta

Popular Courses & Classes

ISEE Courses & Classes in Philadelphia, ACT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in San Diego, MCAT Courses & Classes in Philadelphia, SAT Courses & Classes in Washington DC, MCAT Courses & Classes in New York City, MCAT Courses & Classes in Phoenix, ISEE Courses & Classes in San Diego, LSAT Courses & Classes in Phoenix, MCAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

GRE Test Prep in Washington DC, SAT Test Prep in San Diego, LSAT Test Prep in Atlanta, GMAT Test Prep in Boston, LSAT Test Prep in Boston, GMAT Test Prep in Washington DC, ACT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Miami, ISEE Test Prep in San Diego, MCAT 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

GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #12 : Slope

Example Question #12 : Slope

Example Question #21 : Slope

Example Question #21 : Slope

Example Question #23 : Slope

Example Question #22 : Slope

Example Question #22 : Slope

Example Question #22 : Slope

Example Question #1 : X Intercept And Y Intercept

Example Question #2 : X Intercept And Y Intercept

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: