Call Now to Set Up Tutoring:

(888) 888-0446

Intermediate Geometry : Coordinate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

Create An Account

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #71 : Coordinate Geometry

Find the length of a line with endpoints at (10, 2) and (5, -6) .

Possible Answers:

$\sqrt{91}$

$\sqrt{87}$

$\sqrt{89}$

$\sqrt{85}$

Correct answer:

$\sqrt{89}$

Explanation:

Recall the distance formula for a line with two endpoints $(x_1, y_1)\text{ and }(x_2, y_2)$ :

$\text{distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Plug in the given points to find the length of the line:

$\text{distance}=\sqrt{(5-10)^2+(-6-2)^2}=\sqrt{89}$

Report an Error

Example Question #72 : Coordinate Geometry

A line segment on the coordinate plane has its endpoints at (3.8, -1.7) and (9.2, 5.5) .

Give the length of the segment to the nearest whole tenth.

Possible Answers:

15.2

13.5

14.8

9.0

6.6

Correct answer:

9.0

Explanation:

The distance between endpoints $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ on the coordinate plane can be calculated using the distance formula

$d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

Set $x_{1}= 3.8, y_{1} =-1.7,x_{2} =9.2, y_{2}= 5.5$ , and evaluate:

$d = \sqrt{(9.2-3.8)^{2}+[5.5 -(-1.7)]^{2}}$

$= \sqrt{5.4 ^{2}+7.2^{2}}$

$= \sqrt{29.16+51.84}$

$= \sqrt{81}$

= 9 ,

the correct length.

Report an Error

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

A line passes through both the origin and the point (12,5) . Which of the following points are NOT on the line?

Possible Answers:

(20.4,8.5)

(15.6,8)

(-3,-1.25)

(6,2.5)

(14.4,6)

Correct answer:

(15.6,8)

Explanation:

Because the line passes through the origin, all of the points on the line will have an x:y ratio of 12:5 . Only $\left ( 15.6,8 \right )$ does not meet this requirement.

Report an Error

Example Question #71 : Lines

Which of the following points does NOT lie on the graph of y=x^2-3x+7

Possible Answers:

(2,5)

(5,17)

(4,12)

(1,5)

(3,7)

Correct answer:

(4,12)

Explanation:

To find if a point lies on a graph or not, simply plug the x and y values into your equation and see if it holds true. Plugging our x values into the equation y=x^2-3x+7 gives us the following:

x=1: y=(1)^2-3(1)+7=5

x=2: y=(2)^2-3(2)+7=5

x=3: y=(3)^2-3(3)+7=7

x=4: y=(4)^2-3(4)+7=11 and

x=5: y=(5)^2-3(5)+7=17

So our points are (1,5), (2,5), (3,7), (4,11), and (5,17) . This makes (4,12) the only point that does not lie on our graph.

Report an Error

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points exists on the line 2x-2y=1 ?

Possible Answers:

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

$(0,\frac{1}{2})$

(0,1)

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

(1,0)

Correct answer:

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

Explanation:

Substitute each answer choice into the equation in question, 2x-2y=1 , in order to test if the equation is valid at the given point

Only $( 1,\frac{1}{2})$ will satisfy the equation on both the left and right side.

Report an Error

Example Question #1361 : Intermediate Geometry

Which of the following points exist on the line x=1 ?

Possible Answers:

(0,-1)

(-1,0)

(20,1)

(1,20)

(0,1)

Correct answer:

(1,20)

Explanation:

The line x=1 is a vertical line. This means that any point with an -value of will exist on the line.

The only possible point with an -value of is (1,20) .

Report an Error

Example Question #5 : How To Find Out If A Point Is On A Line With An Equation

Which point will exist on the line y=-1 ?

Possible Answers:

(-1,1)

(1000,-1)

(-1,0)

(-1,1000)

(1000,1000)

Correct answer:

(1000,-1)

Explanation:

The line y=-1 is a horizontal line with points all -values equal to .

The only possible answer with a -value of is (1000,-1) .

Report an Error

Example Question #2 : How To Find Out If A Point Is On A Line With An Equation

Which point is on the line y = 2x - 4 ?

Possible Answers:

(-1,-6)

(2,0)

$(\frac{1}{2}, -3 )$

$(-\frac{1}{2}, 5)$

(1,-2)

Correct answer:

$(-\frac{1}{2}, 5)$

Explanation:

A point is on a line if, plugged in, it creates a true mathematical equation.

For example, (1,-2) is definitely on the line because when you plug it in, it creates a true equation:

y = 2x - 4 plug in the and values

-2 = 2(1) - 4 multiply

-2 = 2-4

-2 = -2 this is true, so that point is on the line

The point that does not work is $(-\frac{1}{2}, 5)$ :

$5 = 2(-\frac{1}{2 }) -4$ multiply

5 = -1 - 4 subtract

$5 \neq -5$

Since this is not true, the point is NOT on the line.

Report an Error

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

Which point is NOT on the line $y = \frac{2}{3} x - 5$ ?

Possible Answers:

(-3, -7)

(6, 1)

(3,-3)

(6, -1 )

(6,-9)

Correct answer:

(6, 1)

Explanation:

A point is on a line if, plugged in, it creates a true mathematical equation.

For example, (3,-3) is definitely on the line because when you plug it in, it creates a true equation:

$y = \frac{2}{3}x - 5$ plug in the and values

$-3 =\frac{2}{3}(3) - 5$ multiply

-3 = 2-5

-3= -3 this is true, so that point is on the line

The point that does not work is (6, 1) :

$1 = \frac{2}{3}(6) -5$ multiply

1 = 4- 5 subtract

$1 \neq -1$

Since this is not true, the point is NOT on the line.

Report an Error

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

Which point is NOT on the line $y = \frac{1}{4} x + 3$ ?

Possible Answers:

(8,5)

(-8, 1)

(-4,2)

(-4,4)

(4,4)

Correct answer:

(-4,4)

Explanation:

A point is on a line if, plugged in, it creates a true mathematical equation.

For example, (-4, 2) is definitely on the line because when you plug it in, it creates a true equation:

$y = \frac{1}{4}x +3$ plug in the and values

$2 = \frac{1}{4}(-4) +3$ multiply

2 = -1+3

2 =2 this is true, so that point is on the line

The point that does not work is (-4, 4) :

$4 =\frac{1}{4} (-4)+3$ multiply

4 = -1 +3 subtract

$4 \neq -2$

Since this is not true, the point is NOT on the line.

Report an Error

View Tutors

Nicole
Certified Tutor

Western Governors University, Bachelor of Education, Special Education.

View Tutors

Sharif
Certified Tutor

NCCU, Bachelors, Physics and Mathematics.

View Tutors

Alejandro
Certified Tutor

Kennesaw State University, Bachelor of Science, Computer Software Engineering.

All Intermediate Geometry Resources

8 Diagnostic Tests 250 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Denver, GRE Tutors in New York City, ISEE Tutors in Los Angeles, Physics Tutors in Los Angeles, Calculus Tutors in Miami, ACT Tutors in San Diego, Reading Tutors in San Diego, French Tutors in Houston, English Tutors in Seattle, Statistics Tutors in Dallas Fort Worth

Popular Courses & Classes

ISEE Courses & Classes in Houston, SAT Courses & Classes in New York City, ACT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Miami, LSAT Courses & Classes in Washington DC, GMAT Courses & Classes in New York City, ACT Courses & Classes in Seattle, GMAT Courses & Classes in Miami, GRE Courses & Classes in San Diego, SAT Courses & Classes in Phoenix

Popular Test Prep

ACT Test Prep in Seattle, SSAT Test Prep in Phoenix, SSAT Test Prep in New York City, GMAT Test Prep in Miami, SAT Test Prep in Boston, ISEE Test Prep in Dallas Fort Worth, GRE Test Prep in Los Angeles, SSAT Test Prep in Los Angeles, SSAT Test Prep in Philadelphia, ACT 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

Intermediate Geometry : Coordinate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #71 : Coordinate Geometry

Example Question #72 : Coordinate Geometry

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

Example Question #71 : Lines

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

Example Question #1361 : Intermediate Geometry

Example Question #5 : How To Find Out If A Point Is On A Line With An Equation

Example Question #2 : How To Find Out If A Point Is On A Line With An Equation

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

Example Question #1 : How To Find Out If A Point Is On A Line With An Equation

All Intermediate Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: