Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to find the midpoint of a line segment

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 #2 : Midpoint Formula

Find the midpoint on the line segment from (2, 3) to (4, 1).

Possible Answers:

(–2, 2)

(3, 2)

(6, 4)

(2, 2)

(2, –2)

Correct answer:

(3, 2)

Explanation:

By using the midpoint formula, we can find the x and y coodinantes fo the midpoint.

$midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$\frac{x_1+x_2}{2}=\frac{2+4}{2}=\frac{6}{2}=3$

$\frac{y_1+y_2}{2}=\frac{3+1}{2}=\frac{4}{2}=2$

Our coordinates are (3, 2).

Report an Error

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

Point X (2, 9) and Point Y (8, 3) are endpoints on a line segment. What is the Midpoint M of that line segment?

Possible Answers:

$\left ( 6,6 \right )$

$\left ( 6,7 \right )$

$\left ( -3,6 \right )$

$\left ( 2,8 \right )$

$\left ( 5,6 \right )$

Correct answer:

$\left ( 5,6 \right )$

Explanation:

To find the midpoint of a line segment, you add together the components and divide by two ( $\frac{2+8}{2}$ = 5) , do the same for ( $\frac{3+9}{2}$ =6). The answer is (5, 6).

Report an Error

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

What is the midpoint of the points (3,12) and (9,15)?

Possible Answers:

(7,13)

(1.5,7.5)

(8,12)

(6,13.5)

Correct answer:

(6,13.5)

Explanation:

To find the midpoint we must know the midpoint formula which is

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

We then take the -coordinate from the first point and plug it into the formula as $x_{1}$ .

We take the -coordinate from the second point and plug it into the formula as $x_{2}$ .

We then do the same for $y_{1}$ and $y_{2}$ .

With all of the points plugged in our equation will look like this.

$(\frac{3+9}{2},\frac{12+15}{2})$

We then perform the necessary addition and division to get the answer of

$(\frac{12}{2},\frac{27}{2})=(6,13.5)$

Report an Error

Example Question #3 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment that connects the two points below.

Point 1: (0,-3)

Point 2: (-2, 4)

Possible Answers:

$(-1, \frac{7}{2})$

$(-1, \frac{1}{2})$

$(1, -\frac{1}{2})$

$(-1,-\frac{1}{2})$

$(1, -\frac{7}{2})$

Correct answer:

$(-1, \frac{1}{2})$

Explanation:

The average of the the -coordinates and the average of the y-coordinates of the given points will give you the mid-point of the line that connects the points.

$\textup{midpoint}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ , where (x_1,y_1) is (0,-3) and (x_2,y_2) is (-2, 4) .

$(\frac{(0)+(-2)}{2}, \frac{(-3)+(4)}{2})$

$(\frac{-2}{2},\frac{1}{2})$

$(-1, \frac{1}{2})$

Report an Error

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

Find the midpoint that falls between (1,-7) and (13,3) .

Possible Answers:

(7,-2)

(14,-4)

(5,1)

(-7,2)

(-2,7)

Correct answer:

(7,-2)

Explanation:

The midpoint formula is $\left ( \frac{x_{1} + x_{2}}{}2, \frac{y_{1} + y_{2}}{2}\right)$ .

When we plug in our points, we get $\left ( \frac{14}{2}, \frac{-4}{2}\right)$ .

So, our final answer is (7,-2) .

Report an Error

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

A line is drawn from (2,4) to (8,28). What are the coordinates of its midpoint?

Possible Answers:

$\left ( 5,20 \right )$

$\left ( 5,16 \right )$

$\left ( 3,12 \right )$

$\left ( 4,14 \right )$

Correct answer:

$\left ( 5,16 \right )$

Explanation:

The length to the midpoint is the difference between the two points divided by two. That number must then be added to the point:

$X_{midpoint}=X_{1}+\frac{\left (X_{2}-X_{1} \right )}{2}=2+\frac{\left (8-2 \right )}{2}=2+\frac{6}{2}=2+3=5$

$Y_{midpoint}=Y_{1}+\frac{\left (Y_{2}-Y_{1} \right )}{2}=4+\frac{\left (28-4 \right )}{2}=4+\frac{24}{2}=4+12=16$

Report an Error

Example Question #7 : How To Find The Midpoint Of A Line Segment

A line segment begins at (2,3) and ends at the point (16,11) . What is the location of its midpoint?

Possible Answers:

(9,7)

(5,6)

(14,8)

(7,4)

(9,8)

Correct answer:

(9,7)

Explanation:

The difference in -values is 14 and the difference in -values is 8. The midpoint therefore differs by values of 7 and 4 from either of the endpoints.

Report an Error

Example Question #3 : How To Find The Midpoint Of A Line Segment

$\textup{Two points }S\left ( 5,2\right )\textup{ and }T\left ( -3,10\right )\textup{ lie in the }xy\textup{-coordinate plane.}$

$\textup{What is the midpoint of line segment }\overline{ST}\textup{ ?}$

Possible Answers:

$\left ( 2,8\right )$

$\left ( 1,10\right )$

$\left (5,6\right )$

$\left ( 4,6\right )$

$\left ( 1,6\right )$

Correct answer:

$\left ( 1,6\right )$

Explanation:

$\textup{The coordinates of the midpoint are the averages of the other points' coordinates.}$

$x\textup{-coordinate}=\frac{5+\left ( -3)\right )}{2}=1\;\;\;\;y\textup{-coordinate}=\frac{2+10}{2}=6$

$\textup{The midpoint is at }\left (1,6\right )$

Report an Error

Example Question #9 : How To Find The Midpoint Of A Line Segment

A line has endpoints of (5,-2) and (-1,0) . What is its midpoint?

Possible Answers:

(3,-1)

(1,1)

(2,1)

(2,-1)

(2,-2)

Correct answer:

(2,-1)

Explanation:

The midpoint formula is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

To find the midpoint of (5,-2) and (-1,0) , you simply plug in the points into the midpoint formula: $(\frac{5+-1}{2},\frac{-2+0}{2})$ , which gives you the point (2,-1) .

Report an Error

Example Question #10 : How To Find The Midpoint Of A Line Segment

A line has endpoints of $\left ( 10,-2 \right )$ and $\left ( -4,8 \right )$ . What is its midpoint?

Possible Answers:

(-7,-6)

None of the other answers

(3,3)

(7,6)

(-3,-3)

Correct answer:

(3,3)

Explanation:

You can find the midpoint of the line by using the midpoint formula: $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ . Plug the endpoints into the formula to get $(\frac{10+-4}{2},\frac{{-2}+8}{2})$ , or (3,3) .

Report an Error

View Algebra Tutors

Sujay
Certified Tutor

View Algebra Tutors

Anabel
Certified Tutor

UDELAR, Diploma, Chemistry. IPA, Bachelor of Education, Mathematics.

View Algebra Tutors

Michael
Certified Tutor

Cleveland State University, Bachelor of Science, Mathematics.

All Algebra 1 Resources

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

Popular Subjects

English Tutors in Seattle, ISEE Tutors in Chicago, Math Tutors in Denver, Algebra Tutors in Seattle, Biology Tutors in San Diego, English Tutors in Los Angeles, SSAT Tutors in Atlanta, Reading Tutors in Boston, Chemistry Tutors in Seattle, SSAT Tutors in Phoenix

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, LSAT Courses & Classes in San Diego, GMAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Houston, Spanish Courses & Classes in Denver, Spanish Courses & Classes in San Diego, SSAT Courses & Classes in Seattle, SSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Denver

Popular Test Prep

SSAT Test Prep in Dallas Fort Worth, SAT Test Prep in Dallas Fort Worth, SSAT Test Prep in New York City, ISEE Test Prep in Los Angeles, MCAT Test Prep in Los Angeles, SAT Test Prep in New York City, GMAT Test Prep in Houston, SAT Test Prep in Denver, MCAT Test Prep in Boston, GMAT Test Prep in Los Angeles

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 midpoint of a line segment

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #2 : Midpoint Formula

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

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

Example Question #3 : How To Find The Midpoint Of A Line Segment

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

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

Example Question #7 : How To Find The Midpoint Of A Line Segment

Example Question #3 : How To Find The Midpoint Of A Line Segment

Example Question #9 : How To Find The Midpoint Of A Line Segment

Example Question #10 : How To Find The Midpoint Of A Line Segment

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: