Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to find slope of a line

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #161 : How To Find Slope Of A Line

Give the slope of the line of the equation

9y - 4x = 30

Possible Answers:

$-\frac{4}{9}$

$\frac{9}{4}$

$\frac{4}{9}$

$-\frac{9}{4}$

Correct answer:

$\frac{4}{9}$

Explanation:

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

9y - 4x = 30

9y - 4x + 4x = 30+ 4x

9y = 4x+ 30

$9y \div 9 = (4x+ 30) \div 9$

$y = \frac{4}{9} x + \frac{30}{9}$

$y = \frac{4}{9} x + \frac{10}{3}$

The coefficient of , which is $\frac{4}{9}$ , is the slope.

Report an Error

Example Question #231 : Slope And Line Equations

Give the slope of the line of the equation

x= 5y - 17

Possible Answers:

$\frac{1}{5}$

The line has no slope

$-\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

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

x= 5y - 17

5y - 17 = x

5y - 17 + 17 = x + 17

5y = x + 17

$5y \div 5 = (x + 17) \div 5$

$y= \frac{1}{5}x + \frac{17 }{5}$

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

Report an Error

Example Question #232 : Slope And Line Equations

Give the slope of the line of the equation

7x + 6y = 33

Possible Answers:

$-\frac{7}{6}$

The correct answer is not among the other choices.

$\frac{6}{7}$

$\frac{7}{6}$

$-\frac{6}{7}$

Correct answer:

$-\frac{7}{6}$

Explanation:

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

7x + 6y = 33

7x + 6y - 7x = 33- 7x

6y = -7x + 33

$6y \div 6 =( -7x + 33) \div 6$

$y = -\frac{7}{6}x + \frac{33}{6}$

The coefficient of , which is $-\frac{7}{6}$ , is the slope.

Report an Error

Example Question #233 : Slope And Line Equations

Find the slope of a line given by the equation:

y=2(2x-3)+4x

Possible Answers:

$\textup{Slope is unknown.}$

Correct answer:

Explanation:

In order to find the slope of this equation, we will need to put this in y-intercept form, y=mx+b .

Simplify the equation by distribution and combine like-terms.

y=2(2x)+2(-3)+4x

Simplify the parentheses.

y=4x-6+4x

Add like terms.

y=8x-6

The slope is .

Report an Error

Example Question #165 : How To Find Slope Of A Line

Given the following equation, $\frac{1}{3}x+\frac{1}{4}y=1$ , what is the slope of this line?

Possible Answers:

$\frac{4}{3}$

$\frac{1}{3}$

$\frac{1}{12}$

$-\frac{3}{4}$

$-\frac{4}{3}$

Correct answer:

$-\frac{4}{3}$

Explanation:

The given equation is currently in standard form. In order to find the slope, we will need to isolate the variable and put the equation in slope-intercept form.

The slope-intercept form is: y=mx+b

Subtract $\frac{1}{3}x$ from both sides.

$\frac{1}{3}x+\frac{1}{4}y-\frac{1}{3}x=1-\frac{1}{3}x$

Simplify both sides.

$\frac{1}{4}y=1-\frac{1}{3}x$

Multiply by four on both sides.

$4(\frac{1}{4}y)=4(1-\frac{1}{3}x)$

Distribute both sides.

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

Rearrange the terms.

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

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

Report an Error

Example Question #234 : Slope And Line Equations

What is the slope of the following set of coordinates?

(2,0) and (2,1)

Possible Answers:

m=0

Undefined

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

m=1

m=2

Correct answer:

Undefined

Explanation:

To solve this problem you need to know the slope formula and set it up accordingly:

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

$\frac{1-0}{2-2}$

This simplifies to:

$\frac{1}{0}$ and because 0 is in the denominator this slope is undefined.

Report an Error

Example Question #235 : Slope And Line Equations

Find the slope of a line if the points given are (6,9) and (-3,6) .

Possible Answers:

$\frac{1}{3}$

$\frac{3}{2}$

$-\frac{3}{2}$

$-\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

Write the formula to find the slope given two points.

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

Substitute the given points into this formula.

$m=\frac{6-9}{-3-6}$

Simplify this fraction and reduce.

$m=\frac{-3}{-9}= \frac{1}{3}$

Report an Error

Example Question #231 : Slope And Line Equations

Points A: (3,2) and B: (4,2) lie on the same line. What is the slope of this line?

Possible Answers:

Undefined

Correct answer:

Explanation:

The slope equation is:

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

Plugging these points:

$\frac{2-2}{4-3}$

$\frac{0}{1}=0$

Report an Error

Example Question #237 : Slope And Line Equations

Find the slope between the following coordinate points:

(2,3) and (4,5)

Possible Answers:

$\frac{1}{2}$

$\frac{1}{6}$

$\frac{1}{4}$

Correct answer:

Explanation:

In order to find the slope, we must find the difference in coordinates and divide this number by the difference between the coordinates.

(2,3)(4,5)

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

Report an Error

Example Question #238 : Slope And Line Equations

Find the slope between the following coordinate points:

(12,4) and (6,6)

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$-\frac{1}{3}$

Explanation:

In order to find the slope, we must find the difference in coordinates and divide this number by the difference between the coordinates.

(12,4)(6,6)

$\text{Slope}=\frac{6-4}{6-12}=\frac{2}{-6}=-\frac{1}{3}$

Report an Error

View Algebra Tutors

Samantha
Certified Tutor

Southern New Hampshire University, Bachelor of Science, Psychology.

View Algebra Tutors

Clinton
Certified Tutor

Rensselaer Polytechnic Institute, Current Undergrad, Biology, General. Albany Medical College, PHD, Molecular and Cellular Ph...

View Algebra Tutors

Renetta
Certified Tutor

Langston University, Bachelor of Science, Education of Individuals in Elementary Special Education Programs.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Philadelphia, Chemistry Tutors in Boston, Reading Tutors in Miami, Algebra Tutors in San Francisco-Bay Area, Math Tutors in San Diego, Calculus Tutors in Miami, ISEE Tutors in New York City, SAT Tutors in Atlanta, SSAT Tutors in Houston, ACT Tutors in Miami

Popular Courses & Classes

ISEE Courses & Classes in Philadelphia, ACT Courses & Classes in Houston, Spanish Courses & Classes in Atlanta, SSAT Courses & Classes in Philadelphia, GRE Courses & Classes in Miami, LSAT Courses & Classes in Boston, ACT Courses & Classes in New York City, SSAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in Washington DC, GRE Courses & Classes in Philadelphia

Popular Test Prep

SSAT Test Prep in San Diego, ISEE Test Prep in Boston, SSAT Test Prep in Atlanta, SSAT Test Prep in Phoenix, GRE Test Prep in New York City, GRE Test Prep in Atlanta, ISEE Test Prep in Phoenix, GRE Test Prep in San Diego, GMAT Test Prep in New York City, 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)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra 1 : How to find slope of a line

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #161 : How To Find Slope Of A Line

Example Question #231 : Slope And Line Equations

Example Question #232 : Slope And Line Equations

Example Question #233 : Slope And Line Equations

Example Question #165 : How To Find Slope Of A Line

Example Question #234 : Slope And Line Equations

Example Question #235 : Slope And Line Equations

Example Question #231 : Slope And Line Equations

Example Question #237 : Slope And Line Equations

Example Question #238 : Slope And Line Equations

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: