We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : How to find the slope of a line

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account Create Tests & Flashcards

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 Next →

Example Question #61 :Expressions & Equations

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

Possible Answers:

-4/3

9/2

-9/2

13/4

2/9

有限公司rrect 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 #61 :Expressions & Equations

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

Possible Answers:

$-\frac{1}{4}$

$\frac{1}{2}$

$-\frac{1}{2}$

有限公司rrect 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 #1 :图的比例关系hips, 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:

$-\sqrt2+1$

$2-\sqrt2$

$-\sqrt2-2$

$-1-\sqrt2$

$\sqrt2 -2$

有限公司rrect 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 #1 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

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

Possible Answers:

$\infty$

有限公司rrect answer:

Explanation:

The-intercept is thevalue when y=0 .

Therefore, since the two-intercepts areand, 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:

$\frac{-3}{4}$

$\frac{-6}{4}$

$\frac{3}{2}$

$\frac{4}{3}$

$\frac{2}{3}$

有限公司rrect 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 #4 :图的比例关系hips, 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:

m=3

m=-3

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

None of these.

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

有限公司rrect 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 #3 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

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

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

Possible Answers:

$-\frac{1}{12}$

$-\frac{3}{4}$

有限公司rrect 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 #8 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

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

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

Possible Answers:

$-\frac{1}{2}$

$\frac{7}{8}$

有限公司rrect 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:

$\frac{3}{7}$

$\frac{4}{7}$

$-\frac{2}{7}$

$\frac{5}{7}$

有限公司rrect 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 #2 :How To Find The Slope Of A Line

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

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

Possible Answers:

$\frac{2}{47}$

$-\frac{34}{47}$

$\frac{12}{47}$

$\frac{19}{4}$

有限公司rrect 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

← Previous 1 2 Next →

有限公司pyright Notice

View Tutors

Susanne
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, Police Science. Thunderbird School of Global Management, Maste...

View Tutors

Nishant
Certified Tutor

LDRP Institute of Technology and Research, Bachelor of Science, Computer Engineering, General. University of Windsor, Master ...

View Tutors

Saintel
Certified Tutor

University of Massachusetts-Lowell, Bachelor in Arts, Foreign Languages and Literatures, General. Boston College, Masters in ...

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Washington DC,English Tutors in Dallas Fort Worth,French Tutors in Los Angeles,GRE Tutors in Atlanta,Algebra Tutors in Phoenix,Spanish Tutors in Philadelphia,ISEE Tutors in Chicago,Chemistry Tutors in Seattle,ISEE Tutors in Miami,Math Tutors in San Diego

Popular Courses & Classes

Spanish Courses & Classes in Denver,GRE Courses & Classes in New York City,GMAT Courses & Classes in Denver,SSAT Courses & Classes in New York City,MCAT Courses & Classes in New York City,SAT Courses & Classes in Dallas Fort Worth,GRE Courses & Classes in San Diego,ACT Courses & Classes in Los Angeles,GMAT Courses & Classes in Philadelphia,GRE Courses & Classes in Houston

Popular Test Prep

ACT Test Prep in Los Angeles,MCAT Test Prep in Dallas Fort Worth,GMAT Test Prep in Phoenix,SAT Test Prep in Phoenix,GMAT Test Prep in Dallas Fort Worth,GRE Test Prep in Miami,ACT Test Prep in Philadelphia,GRE Test Prep in Boston,ACT Test Prep in Phoenix,ACT Test Prep in Boston

DMCA Complaint

如果你认为可用的内容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

有限公司ntact Information

*Full legal name

有限公司mpany name

*Phone number

*Email address

Address

*Address1

Address2

*City

*State

*Zipcode

*有限公司untry

有限公司mplaint Details

有限公司pyright holder you represent (if other than yourself)

*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

Intermediate Geometry : How to find the slope of a line

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #61 :Expressions & Equations

Example Question #61 :Expressions & Equations

Example Question #1 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Example Question #1 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

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

Example Question #4 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Example Question #3 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

Example Question #8 :图的比例关系hips, Interpreting The Unit Rate As The Slope: Ccss.Math.Content.8.Ee.B.5

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

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

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

有限公司ntact Information

Address

有限公司mplaint Details

Find the Best Tutors

Email address:
Your name:
Feedback: