Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 8th Grade Math : Graph Proportional Relationships, Interpreting the Unit Rate as the Slope: CCSS.Math.Content.8.EE.B.5

Study concepts, example questions & explanations for Common Core: 8th Grade Math

Create An Account

All Common Core: 8th Grade Math Resources

7 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #63 : Expressions & Equations

What is the slope of the line that passes through the points (3,4) and (5,13) ?

Possible Answers:

-9/2

13/4

2/9

-4/3

9/2

Correct answer:

9/2

Explanation:

The slope of a line is sometimes referred to as "rise over run." This is because the formula for slope is the change in y-value (rise) divided by the change in x-value (run). Therefore, if you are given two points, $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , the slope of their line can be found using the following formula: $slope=(y_{1}-y_{2})/(x_{1}-x_{2})$

This gives us (13-4)/(5-3)=9/2 .

Report an Error

Example Question #1 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Given points (1,2) and (-1,3) , what is the slope of the line connecting them?

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

$-\frac{1}{4}$

Correct answer:

$-\frac{1}{2}$

Explanation:

Write the slope formula. Plug in the points and solve.

$m= \frac{y_2-y_1}{x_2-x_1}= \frac{3-2}{-1-1}= -\frac{1}{2}$

Report an Error

Example Question #2 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

What is the slope of the line connecting the points $(2,\sqrt2)$ and (1,2) ?

Possible Answers:

$\sqrt2 -2$

$-\sqrt2+1$

$-\sqrt2-2$

$2-\sqrt2$

$-1-\sqrt2$

Correct answer:

$\sqrt2 -2$

Explanation:

Write the slope formula. Plug in the point, and simplify.

$m=\frac{y_2-y_1}{x_2-x_1}= \frac{2-\sqrt2}{1-2}=\frac{2-\sqrt2}{-1}= -(2-\sqrt2) = \sqrt2-2$

Report an Error

Example Question #66 : Expressions & Equations

What is the slope of a line with an -intercept is and another -intercept of ?

Possible Answers:

$\infty$

Correct answer:

Explanation:

The -intercept is the value when y=0 .

Therefore, since the two -intercepts are and , the points are (4,0) and (6,0) .

Write the slope formula, plug in the values, and solve.

$m=\frac{y_2-y_1}{x_2-x_1} = \frac{0-0}{6-4}= \frac{0}{2} =0$

The slope is zero.

Report an Error

Example Question #1 : How To Find The Slope Of A Line

Given the points (4, 3) and (8, 9) , find the slope of the line.

Possible Answers:

$\frac{-3}{4}$

$\frac{2}{3}$

$\frac{3}{2}$

$\frac{-6}{4}$

$\frac{4}{3}$

Correct answer:

$\frac{3}{2}$

Explanation:

The formula for the slope of a line is $\frac{y_2-y_1}{x_2-x_1}$ .

We then plug in the points given: $\frac{9-3}{8-4}=\frac{6}{4}$ which is then reduced to $\frac{3}{2}$ .

Report an Error

Example Question #2 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

A line crosses the x-axis at (6,8) and the y-axis at (0,6) . What is the slope of this line?

Possible Answers:

None of these.

m=3

$m=-\frac{1}{3}$

m=-3

$m=\frac{1}{3}$

Correct answer:

$m=\frac{1}{3}$

Explanation:

Given the points,

$\\(x_1,y_1)=(0,6) \\(x_2,y_2)=(6,8)$ .

We compute slope (m) as follows:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{6-0}=\mathbf{\frac{1}{3}}$

Report an Error

Example Question #1423 : Intermediate Geometry

Find the slope of the line that passes through the points:

(12, 2) and (-12, 4)

Possible Answers:

$-\frac{3}{4}$

$-\frac{1}{12}$

Correct answer:

$-\frac{1}{12}$

Explanation:

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

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

Now, substitute in the information using the given points.

$\text{Slope}=\frac{4-2}{-12-12}$

Simplify.

$\text{Slope}=\frac{2}{-24}$

Solve.

$\text{Slope}=-\frac{1}{12}$

Report an Error

Example Question #1424 : Intermediate Geometry

Find the slope of the line that passes through the points:

(2, 4) and (-10, -20)

Possible Answers:

$-\frac{1}{2}$

$\frac{7}{8}$

Correct answer:

Explanation:

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

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

Now, substitute in the information using the given points.

$\text{Slope}=\frac{-20-4}{-10-2}$

Simplify.

$\text{Slope}=\frac{-24}{-12}$

Solve.

$\text{Slope}=2$

Report an Error

Example Question #2 : How To Find The Slope Of A Line

Find the slope of the line that passes through the points:

(4, 5) and (-3, 1)

Possible Answers:

$-\frac{2}{7}$

$\frac{4}{7}$

$\frac{3}{7}$

$\frac{5}{7}$

Correct answer:

$\frac{4}{7}$

Explanation:

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

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

Now, substitute in the information using the given points.

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

Simplify.

$\text{Slope}=\frac{-4}{-7}$

Solve.

$\text{Slope}=\frac{4}{7}$

Report an Error

Example Question #1426 : Intermediate Geometry

Find the slope of the line that passes through the points:

(8, 15) and (-39, 13)

Possible Answers:

$\frac{19}{4}$

$\frac{2}{47}$

$\frac{12}{47}$

$-\frac{34}{47}$

Correct answer:

$\frac{2}{47}$

Explanation:

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

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

Now, substitute in the information using the given points.

$\text{Slope}=\frac{13-15}{-39-8}$

Simplify.

$\text{Slope}=\frac{-2}{-47}$

Solve.

$\text{Slope}=\frac{2}{47}$

Report an Error

View Tutors

Amanda
Certified Tutor

Seattle University, Current Undergrad Student, Applied Mathematics.

View Tutors

Ingy
Certified Tutor

University of Minnesota-Twin Cities, Bachelors, Mathematics with Actuarial Science Specialization.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

All Common Core: 8th Grade Math Resources

7 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in San Diego, LSAT Tutors in Boston, Algebra Tutors in Dallas Fort Worth, Statistics Tutors in Dallas Fort Worth, Math Tutors in Los Angeles, Biology Tutors in Seattle, LSAT Tutors in Denver, Statistics Tutors in Phoenix, GRE Tutors in Denver, Spanish Tutors in Atlanta

Popular Courses & Classes

GRE Courses & Classes in Seattle, ACT Courses & Classes in New York City, LSAT Courses & Classes in Miami, GRE Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Seattle, ISEE Courses & Classes in Los Angeles, Spanish Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Boston, Spanish Courses & Classes in Chicago, SAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

ISEE Test Prep in Boston, SAT Test Prep in San Diego, ACT Test Prep in Miami, SAT Test Prep in Houston, ISEE Test Prep in Atlanta, ACT Test Prep in Seattle, GRE Test Prep in Seattle, GRE Test Prep in Atlanta, GMAT Test Prep in Atlanta, LSAT Test Prep in Miami

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

Common Core: 8th Grade Math : Graph Proportional Relationships, Interpreting the Unit Rate as the Slope: CCSS.Math.Content.8.EE.B.5

Study concepts, example questions & explanations for Common Core: 8th Grade Math

All Common Core: 8th Grade Math Resources

Example Questions

Example Question #63 : Expressions & Equations

Example Question #1 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Example Question #2 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Example Question #66 : Expressions & Equations

Example Question #1 : How To Find The Slope Of A Line

Example Question #2 : Graph Proportional Relationships, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Example Question #1423 : Intermediate Geometry

Example Question #1424 : Intermediate Geometry

Example Question #2 : How To Find The Slope Of A Line

Example Question #1426 : Intermediate Geometry

All Common Core: 8th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: