Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Coordinate Geometry

Study concepts, example questions & explanations for ISEE Middle Level Math

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find A Line On A Coordinate Plane

Find the slope of the line that passes through coordinates (-4,-3) $\displaystyle (-4,-3)$ and (8,-4) $\displaystyle (8,-4)$.

Possible Answers:

$m= -\frac{1}{12}$ $\displaystyle m= -\frac{1}{12}$

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

m = -2 $\displaystyle m = -2$

m = 2 $\displaystyle m = 2$

Correct answer:

$m= -\frac{1}{12}$ $\displaystyle m= -\frac{1}{12}$

Explanation:

The formula for slope is:

$m = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}$ $\displaystyle m = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}$

In this particular question our values are given as follows.

$y_{2} = -4$ $\displaystyle y_{2} = -4$

$y_{1} =-3$ $\displaystyle y_{1} =-3$

$x_{2} = 8$ $\displaystyle x_{2} = 8$

$x_{1} = -4$ $\displaystyle x_{1} = -4$

Substituting the above values into the formula for slope we get,

$\frac{-4 - (-3)}{8- (-4)} = \frac{-1}{12}$ $\displaystyle \frac{-4 - (-3)}{8- (-4)} = \frac{-1}{12}$

$m = -\frac{1}{12}$ $\displaystyle m = -\frac{1}{12}$.

Report an Error

Example Question #1 : Geometry

Billy set up a ramp for his toy cars. He did this by taking a wooden plank and putting one end on top of a brick that was 3 inches high. He then put the other end on top of a box that was 9 inches high. The bricks were 18 inches apart. What is the slope of the plank?

Possible Answers:

$\frac{5}{9}$ $\displaystyle \frac{5}{9}$

$\frac{3}{18}$ $\displaystyle \frac{3}{18}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\frac{1}{18}$ $\displaystyle \frac{1}{18}$

Correct answer:

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

Explanation:

The value of the slope (m) is rise over run, and can be calculated with the formula below:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ $\displaystyle m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The coordinates of the first end of the plank would be (0,3), given that this is the starting point of the plank (so x would be 0), and y would be 3 since the brick is 3 inches tall.

The coordinates of the second end of the plank would be (18,9) since the plank is 18 inches long (so x would be 18) and y would be 9 since the box was 9 inches tall at the other end.

From this information we know that we can assign the following coordinates for the equation:

$\left(x_{1},y_{1}\right) = (0,3)$ $\displaystyle \left(x_{1},y_{1}\right) = (0,3)$ and $(x_{2}, y_{2})= (18,9)$ $\displaystyle (x_{2}, y_{2})= (18,9)$

Below is the solution we would get from plugging this information into the equation for slope:

$m = \frac{9-3}{18-0}}$ $\displaystyle m = \frac{9-3}{18-0}}$

This reduces to $\frac{6}{18} =\frac{1}{3}$ $\displaystyle \frac{6}{18} =\frac{1}{3}$

Report an Error

Example Question #12 : New Sat Math Calculator

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

Screen shot 2016 02 10 at 9.35.05 am

Possible Answers:

$\displaystyle 1$

$\displaystyle -1$

$\frac{8}{5}$ $\displaystyle \frac{8}{5}$

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$

Correct answer:

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$

Explanation:

Looking at the graph, it is seen that the line passes through the points (-8,-5) and (8,5).

Screen shot 2016 02 10 at 9.35.05 am

The slope of a line through the points (8, 5) $\displaystyle (8, 5)$ and $\displaystyle (-8,- 5)$ can be found by setting

$x_{1} = -8,y_{1} = -5, x_{2} = 8, y_{2} = 5$ $\displaystyle x_{1} = -8,y_{1} = -5, x_{2} = 8, y_{2} = 5$:

in the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{5-(-5)}{8 - (-8)} = \frac{5+5}{8 + 8} = \frac{10}{16} = \frac{5}{8}$ $\displaystyle m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{5-(-5)}{8 - (-8)} = \frac{5+5}{8 + 8} = \frac{10}{16} = \frac{5}{8}$

Report an Error

View Tutors

Clarissa
Certified Tutor

University of North Texas, Bachelor in Arts, International Relations.

View Tutors

Reuben
Certified Tutor

University of Alberta, Bachelor of Science, Mathematics.

View Tutors

Cheryl
Certified Tutor

Palm Beach Atlantic University-West Palm Beach, Bachelor of Science, Business Administration and Management. Southern New Ham...

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Miami, French Tutors in Atlanta, Statistics Tutors in San Diego, GRE Tutors in Seattle, MCAT Tutors in San Francisco-Bay Area, Physics Tutors in Seattle, Physics Tutors in Phoenix, Statistics Tutors in Atlanta, ACT Tutors in Atlanta, GMAT Tutors in Los Angeles

Popular Courses & Classes

ISEE Courses & Classes in San Diego, SAT Courses & Classes in Seattle, ISEE Courses & Classes in Los Angeles, SSAT Courses & Classes in Washington DC, MCAT Courses & Classes in Los Angeles, ACT Courses & Classes in Seattle, ISEE Courses & Classes in New York City, SSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Seattle, GRE Courses & Classes in Boston

Popular Test Prep

SSAT Test Prep in New York City, GMAT Test Prep in Los Angeles, MCAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Washington DC, LSAT Test Prep in Houston, MCAT Test Prep in Atlanta, MCAT Test Prep in Boston, SAT Test Prep in Denver, SAT Test Prep in Boston, SAT Test Prep in Atlanta

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

ISEE Middle Level Math : Coordinate Geometry

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #1 : How To Find A Line On A Coordinate Plane

Example Question #1 : Geometry

Example Question #12 : New Sat Math Calculator

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: