Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to find the equation 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 #61 : How To Find The Equation Of A Line

What is the equation of the line if the line connects the points (1,3) and (1,6) ?

Possible Answers:

$\textup{There is no equation possible.}$

$y=\infty$

$x=\infty$

y=1

x=1

Correct answer:

x=1

Explanation:

If we chose to use the slope formula to determine a possible slope, we have:

$m= \frac{y_2-y_1}{x_2-x_1} = \frac{6-3}{1-1} = \frac{3}{0}$

Our slope becomes undefined. The x-values will not change, and we are not able to write this in the slope-intercept form.

This line is a vertical line, and will be represented by x=1 because the x-values will not change in a vertical line.

The answer is: x=1

Report an Error

Example Question #152 : Equations Of Lines

Determine the equation for the line, in slope intercept form, given a slope of and that it passes through the point (1, 5) .

Possible Answers:

y=x+5

y=x+4

y=4x+9

y=4x+1

y=4x-9

Correct answer:

y=4x+1

Explanation:

To determine the equation for the line given only a point on the line and its slope, we can use point-slope form, which is given by the following:

$y-y_{1}=m(x-x_{1})$ , where is the slope of the line and $(x_{1}, y_{1})$ is the point on the line.

Using the formula, we get

y-5=4(x-1) , which simplified becomes y=4x+1 .

Report an Error

Example Question #153 : Equations Of Lines

What is the equation of a line with a slope of and a y-intercept of ?

Possible Answers:

y=-3x+3

3x+3y=0

y=3x+3

3x+3y=1

y=3x-3

Correct answer:

y=3x+3

Explanation:

Write the slope-intercept form for linear equations.

y=mx+b

The is the slope of the equation, and is the y-intercept.

Substitute the values into the equation.

The equation of the line is: y=3x+3

Report an Error

Example Question #62 : How To Find The Equation Of A Line

Given the slope of a line is five, and a point on the graph is (5,3) , write the equation of the line in point-slope form.

Possible Answers:

y-3 = 5(x-5)

y+3 = 5(x+5)

y=5x+22

y=5x-22

y-3 = 5(x+5)

Correct answer:

y-3 = 5(x-5)

Explanation:

Write the formula for point-slope form.

y-y_1 = m(x-x_1)

The variable is the slope, and the point is in (x_1,y_1) format.

m=5

(x_1,y_1)=(5,3)

Substitute all the givens. There's is no need to simplify.

The answer is: y-3 = 5(x-5)

Report an Error

Example Question #155 : Equations Of Lines

Given the slope is three, and a point is (3,3) on the graph, what is the equation of the line?

Possible Answers:

y=3x+3

y=3x-9

y=3x-6

y=3x-3

y=3x+6

Correct answer:

y=3x-6

Explanation:

Write the slope intercept form.

y=mx+b

Substitute the slope and the point to find the y-intercept, .

3=3(3)+b

Solve for the unknown variable.

3=9+b

Subtract nine from both sides.

-6=b

Write the equation now that we have the slope and y-intercept.

The answer is: y=3x-6

Report an Error

Example Question #156 : Equations Of Lines

Find the equation of the line given two points: (1,9) and (-2,11)

Possible Answers:

$y=-\frac{4}{3}x+7\frac{5}{8}$

y=-x+10

$y=-x+9\frac{2}{3}$

$y=-\frac{2}{3}x+9\frac{2}{3}$

$y=-\frac{2}{5}x+8\frac{1}{3}$

Correct answer:

$y=-\frac{2}{3}x+9\frac{2}{3}$

Explanation:

Write the slope intercept form. The equation will be in this form.

y=mx+b

Write the slope formula.

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

Let (x_1,y_1)=(1,9) and (x_2,y_2)=(-2,11) .

Substitute the points into the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{11-9}{-2-1} = \frac{2}{-3}$

The slope is: $-\frac{2}{3}$

Use the slope and a given point, substitute them into the slope intercept form to find the y-intercept.

$9=(-\frac{2}{3})(1)+b$

Solve for the y-intercept.

$9=-\frac{2}{3}+b$

Add two-thirds on both sides.

$9+ \frac{2}{3}=-\frac{2}{3}+b+ \frac{2}{3}$

Simplify both sides.

$b=9\frac{2}{3}$

With the slope and y-intercept known, write the formula.

The answer is: $y=-\frac{2}{3}x+9\frac{2}{3}$

Report an Error

Example Question #157 : Equations Of Lines

Given the x-intercept is seven, and the y-intercept is four, what is the equation of the line?

Possible Answers:

$y=-\frac{7}{4}x+4$

$y=\frac{4}{7}x+4$

$y=-\frac{4}{7}x+4$

$y=\frac{7}{4}x+4$

$\textup{Not enough information.}$

Correct answer:

$y=-\frac{4}{7}x+4$

Explanation:

The x-intercept is the value when y=0 .

The y-intercept is the value when x=0 .

We know the two points needed to find the equation of the line.

The points are: (7,0) and (0,4)

Use the slope formula to find the slope.

$m=\frac{y_2-y_1}{x_2-x_1} = \frac{4-0}{0-7} = -\frac{4}{7}$

Write the slope-intercept equation.

y=mx+b

Substitute the slope and the y-intercept.

The answer is: $y=-\frac{4}{7}x+4$

Report an Error

Example Question #158 : Equations Of Lines

If the slope is four, and a known point is (-5,2) , what is the equation in point-slope form?

Possible Answers:

y-2 = 4(x-5)

y-2 = 4(x+5)

y+2 = 4(x-5)

y=4x-22

y=4x+22

Correct answer:

y-2 = 4(x+5)

Explanation:

Write the equation in point-slope form.

y-y_1=m(x-x_1)

The variable is the slope. Substitute the slope and the point.

y-2 = 4(x-(-5))

Simplify the right side of the equation.

The answer is: y-2 = 4(x+5)

Report an Error

Example Question #161 : Equations Of Lines

A line passes through the points (3, 9) and (5, 3), and has a y-intercept of 3. Which of the following is an equation for that line?

Possible Answers:

y = 8x-12

$\small y = 9x-6$

$\small y = -4x + 8$

y = -2x-4

$\small \small y = -{3}x + 3$

Correct answer:

$\small \small y = -{3}x + 3$

Explanation:

The equation for a line is always $\small y = mx + b$ , where $\small m = slope$ and $\small b = y-intercept$ .

Given two data points, we are able to find the slope, m, using the formula

$\small \frac{y_{1}-y_{2}}{x_{1}-x_{2}}$ .

Using the data points provided, our formula will be:

$\small \small \frac{3-9}{5-3}$ , which gives us $\small \small -\frac{6}{2} ,$ or , $\small \small m = -3$ .

Our y-intercept is given.

Thus our equation for the line containing these points and that y-intercept is $\small \small y = -{3}x + 3$ .

Report an Error

View Algebra Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Algebra Tutors

Samarth
Certified Tutor

Maharaja Sayajirao University of Baroda, Bachelor of Engineering, Mechanical Engineering. Concordia University-Seward, Master...

View Algebra Tutors

Sana
Certified Tutor

Loyola University-Chicago, Bachelor of Science, Psychology.

All Algebra 1 Resources

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

Popular Subjects

SSAT Tutors in Phoenix, ACT Tutors in Washington DC, SAT Tutors in Washington DC, ISEE Tutors in Denver, French Tutors in Miami, GMAT Tutors in Denver, French Tutors in Washington DC, French Tutors in Boston, Computer Science Tutors in San Diego, SAT Tutors in Dallas Fort Worth

Popular Courses & Classes

MCAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Philadelphia, ACT Courses & Classes in Los Angeles, LSAT Courses & Classes in Miami, MCAT Courses & Classes in Atlanta, ACT Courses & Classes in Washington DC, LSAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Philadelphia, SSAT Courses & Classes in San Diego

Popular Test Prep

GMAT Test Prep in Philadelphia, ISEE Test Prep in Los Angeles, SAT Test Prep in Atlanta, SAT Test Prep in Philadelphia, ACT Test Prep in Los Angeles, ISEE Test Prep in Phoenix, MCAT Test Prep in Philadelphia, SSAT Test Prep in Houston, SSAT Test Prep in Washington DC, ISEE 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 the equation of a line

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #61 : How To Find The Equation Of A Line

Example Question #152 : Equations Of Lines

Example Question #153 : Equations Of Lines

Example Question #62 : How To Find The Equation Of A Line

Example Question #155 : Equations Of Lines

Example Question #156 : Equations Of Lines

Example Question #157 : Equations Of Lines

Example Question #158 : Equations Of Lines

Example Question #161 : Equations Of Lines

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: