We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

HiSET: Math : Properties of lines

Study concepts, example questions & explanations for HiSET: Math

Create An Account

All HiSET: Math Resources

125 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Midpoint Of Line Segments

Give the coordinates of the midpoint of the line segment whose endpoints are the intercepts of the line of the equation

2x+ 5y = 40 .

Possible Answers:

(-14, -4)

None of the other choices gives the correct response.

(4, 14)

(14, 4)

(-4, -14)

Correct answer:

(14, 4)

Explanation:

The x-intercept and y-intercept of the line of an equation can be found by substituting 0 for and , respectively, as follows:

x-intercept:

2x+ 5y = 40

Substitute and simplify:

2x+ 5(0)= 40

2x+ 0 = 40

2x= 40

Solve for by dividing by 2 on both sides:

$2x \div 2 = 40 \div 2$

x = 20

The x-intercept of the line is located at (20,0)

The y-intercept can be found by setting x= 0 and solving for in a similar fashion:

2x+ 5y = 40

2 (0)+ 5y = 40

0 + 5y = 40

5y = 40

$5y \div 5 = 40 \div 5$

y = 8

The y-intercept is located at (0,8) .

The midpoint of a line segment, given its endpoints $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ , is located at

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

substituting accordingly,

$\frac{x_{1}+x_{2}}{2} =\frac{20+8}{2} = \frac{28}{2} = 14$

$\frac{y_{1}+y_{2}}{2} = \frac{ 0+8}{2} = \frac{8}{2} = 4$

The midpoint is located at (14, 4) .

Report an Error

Example Question #1 : Midpoint Of Line Segments

What is the midpoint of the line segment created by the points (-2,16) and (3,7) ?

Possible Answers:

$(\frac{3}{2},\frac{3}{2})$

$(-\frac{5}{2},-\frac{13}{2})$

$(\frac{1}{2},\frac{23}{2})$

$(\frac{9}{2},-\frac{17}{2})$

$(\frac{23}{2},\frac{3}{2})$

Correct answer:

$(\frac{1}{2},\frac{23}{2})$

Explanation:

The midpoint of the line segment between two points

$(x_{0},y_{0})$ and $(x_{1},y_{1})$

is given by the formula

$(\frac{x_{0}+x_{1}}{2},\frac{y_{0}+y_{1}}{2})$ .

Thus, since the line segment is generated by

(-2,16) and (3,7)

applying the midpoint formula we have

$(\frac{-2+3}{2},\frac{16+7}{2})= (\frac{1}{2},\frac{23}{2})$

as the midpoint.

Report an Error

Example Question #1 : Midpoint Of Line Segments

What is the midpoint between A(-12,10) and B(14,-6) ?

Possible Answers:

(-1,2)

(2,1)

(-2,-1)

(1,2)

Correct answer:

(1,2)

Explanation:

Step 1: Recall the midpoint Formula....

$(\dfrac {x_1+x_2}{2},\dfrac {y_1+y_2}{2})$ , where (x_1,y_1) is the first point and (x_2,y_2) is the second point

Step 2: Identify the points and their specific terms...

x_1=-12, y_1=10, x_2=14, y_2=-6

Step 3: Plug in the values into the midpoint formula...

$(\dfrac {-12+14}{2},\dfrac {10-6}{2})$

Simplify...

$(\dfrac {2}{2},\dfrac {4}{2})=(1,2)$

Report an Error

View Tutors

David
Certified Tutor

Rockhurst University, Master of Arts, Education.

View Tutors

Joseph
Certified Tutor

Ferris State University, Bachelor of Science, Applied Mathematics. University of North Carolina at Chapel Hill, Master of Sci...

View Tutors

Ria
Certified Tutor

Oregon State University, Bachelor in Arts, English.

All HiSET: Math Resources

125 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Phoenix, SAT Tutors in Boston, LSAT Tutors in Miami, French Tutors in Denver, SSAT Tutors in Los Angeles, Algebra Tutors in San Francisco-Bay Area, GMAT Tutors in Phoenix, French Tutors in Atlanta, English Tutors in Los Angeles, Math Tutors in Denver

Popular Courses & Classes

MCAT Courses & Classes in Boston, LSAT Courses & Classes in Seattle, SAT Courses & Classes in Boston, LSAT Courses & Classes in Chicago, SAT Courses & Classes in Phoenix, ACT Courses & Classes in Phoenix, GMAT Courses & Classes in Philadelphia, ISEE Courses & Classes in San Diego, MCAT Courses & Classes in Miami, GRE Courses & Classes in Miami

Popular Test Prep

GMAT Test Prep in Denver, ACT Test Prep in Phoenix, MCAT Test Prep in Los Angeles, GMAT Test Prep in Philadelphia, LSAT Test Prep in Chicago, LSAT Test Prep in Los Angeles, MCAT Test Prep in Miami, MCAT Test Prep in Denver, SAT Test Prep in Atlanta, GRE Test Prep in Phoenix

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

HiSET: Math : Properties of lines

Study concepts, example questions & explanations for HiSET: Math

All HiSET: Math Resources

Example Questions

Example Question #1 : Midpoint Of Line Segments

Example Question #1 : Midpoint Of Line Segments

Example Question #1 : Midpoint Of Line Segments

All HiSET: Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: