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 #171 : Equations Of Lines

What is the slope of the line 3y-9x=15 ?

Possible Answers:

Correct answer:

Explanation:

To easily find the slope of the line, you can rearrange the equation to the y=mx+b form. To do this, isolate the by moving the to the other side of the equation. This gives you 3y=9x+15 . Then, divide both sides by 3 to isolate the , which leaves you with y=3x+5 . Now, the equation is in the y=mx+b form, and you can easily see that the slope is 3.

Report an Error

Example Question #11 : How To Find Slope Of A Line

What is the slope of the line depicted by the equation?

6x+3y=15

Possible Answers:

$m=\frac{5}{2}$

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

$m=\frac{2}{5}$

m=-2

Correct answer:

m=-2

Explanation:

The equation is written in standard from: $\small Ax+By=C$ . In this format, the slope is $\small -\frac{A}{B}$ .

6x+3y=15

In our equation, $\small A=6$ and $\small B=3$ .

$\small m=-\frac{A}{B}=-\frac{6}{3}$

$\small -\frac{6}{3}=-2$

Report an Error

Example Question #173 : Equations Of Lines

Find the slope of the line defined by the equation 4x - 6y = 15 .

Possible Answers:

$\frac{3}{2}$

$-\frac{3}{2}$

$\frac{2}{3}$

$-\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

4x - 6y = 15

-4x + 4x - 6y = -4x + 15

- 6y = -4x + 15

$- 6y \div (-6)=\left ( -4x + 15 \right )\div (-6)$

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

The slope is the coefficient of : $m = \frac{2}{3}$

Report an Error

Example Question #81 : Slope And Line Equations

Find the slope of the line that includes points (5,-4) and (8,-2) .

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{6}{13}$

Correct answer:

$\frac{2}{3}$

Explanation:

Use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-2-(-4)}{8-5} = \frac{2}{3}$

Report an Error

Example Question #421 : Functions And Lines

Find the slope of the line that includes points (5,4) and (8,-2) .

Possible Answers:

$\frac{1}{10}$

$-\frac{1}{2}$

$\frac{6}{13}$

$\frac{13}{6}$

Correct answer:

Explanation:

Use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-2-4}{8-5} = \frac{-6}{3} = -2$

Report an Error

Example Question #173 : Equations Of Lines

Line is a straight line that passes through these points on a graph:(-4,0) (0,3) and (4,6). What is the slope of line ?

Possible Answers:

$-\frac{3}{4}$

$-\frac{4}{3}$

$\frac{4}{3}$

$\frac{3}{4}$

There is no straight line that passes through these three points.

Correct answer:

$\frac{3}{4}$

Explanation:

To calculate the slope of a line, we pick two points, and calculate the change in divided by the change in . To calculate the change in value, we use subtraction. So,

slope = $\frac{\text{Change in Y}}{\text{Change in X}} = \frac{y_2-y_1}{x_2-x_1}$

So we can pick any two points and plug them into this formula. Let's choose (0,3) and (4,6). We get

$\frac{6-3}{4-0}= \frac{3}{4}$

Report an Error

Example Question #13 : How To Find Slope Of A Line

The following equation describes a straight line.

y=-2x-3

Identify the slope and y-intercept of the line.

Possible Answers:

None of these

Slope: $\small -3$

Y-intercept: $\small (0,-2)$

Slope: $\small -2$

Y-intercept: $\small (-3,0)$

Slope: $\small -3$

Y-intercept: $\small (-2,0)$

Slope: $\small -2$

Y-intercept: $\small (0,-3)$

Correct answer:

Slope: $\small -2$

Y-intercept: $\small (0,-3)$

Explanation:

The general formula of a straight line is y=mx+b , where $\small m$ is the slope and $\small b$ is the y-intercept.

To evaluate our original equation, we can compare it to this formula.

y=mx+b

y=-2x-3

The slope is $\small -2$ and the y-intercept is at $\small -3$ . Since the y-intercept is a point on the line, it is written as $\small (0,-3)$ .

Report an Error

Example Question #174 : Equations Of Lines

Find the slope of the line defined by the equation 2x + 6y = 15 .

Possible Answers:

$\frac{1}{3}$

$- \frac{1}{3}$

Correct answer:

$- \frac{1}{3}$

Explanation:

Rewrite in slope-intercept form:

2x + 6y = 15

-2x + 2x + 6y = -2x +15

6y = -2x +15

$6y \div 6= \left (-2x +15 \right )\div 6$

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

The slope is the coefficient of :

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

Report an Error

Example Question #14 : How To Find Slope Of A Line

Identify the slope and y-intercept of the following function.

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

Possible Answers:

Slope:

Y-intercept: $(0,\frac{1}{2})$

Slope:

Y-intercept: (0,3)

Slope: $\frac{1}{3}$

Y-intercept: (0,-2)

Slope: $-\frac{1}{3}$

Y-intercept: (0,-2)

Slope:

Y-intercept: $(0,-\frac{1}{2})$

Correct answer:

Slope: $-\frac{1}{3}$

Y-intercept: (0,-2)

Explanation:

This function describes a straight line. We can compare the given equation with the formula for a straight line in slope-intercept form.

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

y=mx+b

In the formula, is the slope and is the y-intercept. Looking at our given equation, we can see that $m=-\frac{1}{3}$ and b=-2 .

Since the y-intercept is a point, we want to write it in point notation: (0,-2)

Report an Error

Example Question #15 : How To Find Slope Of A Line

Determine the slope and y-intercept of the following equation.

1-10x+5y=2

Possible Answers:

Slope: $\frac{1}{2}$

Y-intercept: (0,-3)

Slope:

Y-intercept: $(0,\frac{1}{2})$

Slope:

Y-intercept: $(0,\frac{1}{9})$

None of these

Slope:

Y-intercept: $(0,\frac{1}{5})$

Correct answer:

Slope:

Y-intercept: $(0,\frac{1}{5})$

Explanation:

1-10x+5y=2

You see that this equation is not written explicitly in terms of . Before we can determine the slope and y-intercept, we need to write the equation explicitly in terms of by solving for .

First, add 10x to both sides.

1-10x+10x+5y=10x+2

1+5y=10x+2

Then subtract to both sides.

1-1+5y=10x+2-1

5y=10x+1

Finally, divide by .

$\frac{5y}{5}=\frac{10x+1}{5}$

$y=2x+\frac{1}{5}$

Now that the equation is explicitly in terms of , we can compare it to the general formula of a straight line in slope-intercept form.

y=mx+b

In this equation, is equal to the slope and is equal to the y-intercept. Comparing our given equation to the formula, we can see that m=2 and $b=\frac{1}{5}$ .

Since the y-intercept is a point, we will want to write it in point notation: $(0,\frac{1}{5})$ .

Report an Error

View Algebra Tutors

Nathan
Certified Tutor

California Polytechnic State University, San Luis Obispo, Bachelor, Electrical Engineering.

View Algebra Tutors

Abigail
Certified Tutor

Indiana University-Bloomington, Bachelor of Science, Social Work.

View Algebra Tutors

Maggie
Certified Tutor

Kalamazoo College, Bachelor of Science, Computer Science.

All Algebra 1 Resources

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

Popular Subjects

ACT Tutors in Philadelphia, MCAT Tutors in Boston, GRE Tutors in Philadelphia, Spanish Tutors in Atlanta, Computer Science Tutors in Philadelphia, MCAT Tutors in Miami, Physics Tutors in Los Angeles, Reading Tutors in San Diego, ISEE Tutors in San Francisco-Bay Area, ACT Tutors in Dallas Fort Worth

Popular Courses & Classes

Spanish Courses & Classes in Miami, ACT Courses & Classes in Denver, Spanish Courses & Classes in Denver, Spanish Courses & Classes in Washington DC, LSAT Courses & Classes in Denver, ACT Courses & Classes in New York City, Spanish Courses & Classes in Atlanta, ACT Courses & Classes in Philadelphia, GMAT Courses & Classes in Atlanta, Spanish Courses & Classes in Dallas Fort Worth

Popular Test Prep

SAT Test Prep in Houston, ACT Test Prep in Miami, SAT Test Prep in Philadelphia, ACT Test Prep in Philadelphia, ACT Test Prep in Denver, SAT Test Prep in Seattle, GRE Test Prep in San Diego, ACT Test Prep in New York City, MCAT Test Prep in Philadelphia, SSAT Test Prep in Seattle

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 #171 : Equations Of Lines

Example Question #11 : How To Find Slope Of A Line

Example Question #173 : Equations Of Lines

Example Question #81 : Slope And Line Equations

Example Question #421 : Functions And Lines

Example Question #173 : Equations Of Lines

Example Question #13 : How To Find Slope Of A Line

Example Question #174 : Equations Of Lines

Example Question #14 : How To Find Slope Of A Line

Example Question #15 : How To Find Slope Of A Line

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: