Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Upper Level Math : Coordinate Geometry

Study concepts, example questions & explanations for SSAT Upper Level Math

Create An Account

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #201 : Coordinate Geometry

Function 1

What equation is graphed in the above figure?

Possible Answers:

$y = \left \lfloor x\right \rfloor + 4$

$y = \left \lfloor x\right \rfloor - 4$

$y = \left \lceil x\right \rceil+ 5$

$y = \left \lfloor x\right \rfloor + 5$

$y = \left \lceil x\right \rceil+ 4$

Correct answer:

$y = \left \lceil x\right \rceil+ 4$

Explanation:

The least integer function, or celing function, $f(x) = \left \lceil x\right \rceil$ , pairs each value of with the least integer greater than or equal to . Its graph is below.

Ceiling function

The given graph is the above graph shifted upward four units. The graph of any function y = f(x) shifted upward four units is y = f(x) + 4 , so the given graph corresponds to equation $y = \left \lceil x\right \rceil+ 4$ .

Report an Error

Example Question #202 : Coordinate Geometry

Function

Give the equation graphed in the above figure.

Possible Answers:

y = |x+5|

y = |x| + 5

y = |x-5|

y = |5x|

y = |x| -5

Correct answer:

y = |x| + 5

Explanation:

The graph below is the graph of the absolute value function f(x)= |x| , which pairs each -coordinate with its absolute value.

Absolute value graph

The given graph is the above graph shifted upward five units. The graph of any function y = f(x) shifted upward five units is y = f(x)+5 , so the correct response is y = |x| + 5 .

Report an Error

Example Question #1 : How To Find Slope

What is the slope of the line that passes through the points $(-1,4) \text{ and } (-5,1)$ ?

Possible Answers:

$-\frac{3}{4}$

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{4}{3}$

Correct answer:

$\frac{3}{4}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Substituting the values from the points given, we get the following slope:

$\text{Slope}=\frac{1-4}{-5-(-1)}=\frac{-3}{-4}=\frac{3}{4}$

Report an Error

Example Question #2 : How To Find Slope

Find the slope of a line that passes through the points (17,2) and (-2, -1) .

Possible Answers:

$-\frac{19}{3}$

$\frac{3}{19}$

$-\frac{3}{19}$

$\frac{19}{3}$

Correct answer:

$\frac{3}{19}$

Explanation:

To find the slope of the line that passes through the given points, you can use the slope equation.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{-1-2}{-2-17}=\frac{-3}{-19}=\frac{3}{19}$

Report an Error

Example Question #3 : How To Find Slope

Find the slope of the line that passes through the points (a, b) and (2, 3) .

Possible Answers:

$\frac{3-b}{2-a}$

$\frac{2-b}{3-a}$

$\frac{2-a}{3-b}$

$\frac{3-a}{2-b}$

Correct answer:

$\frac{3-b}{2-a}$

Explanation:

To find the slope of the line that passes through the given points, you can use the slope equation.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{3-b}{2-a}$

Report an Error

Example Question #1 : Slope

A line has the equation 5x-9y=12 . What is the slope of this line?

Possible Answers:

$-\frac{4}{3}$

$\frac{5}{9}$

$\frac{9}{5}$

Correct answer:

$\frac{5}{9}$

Explanation:

You need to put the equation in y=mx+b form before you can easily find out its slope.

5x-9y=12

-9y=-5x+12

$y=\frac{5}{9}x-\frac{4}{3}$

Since $m=\frac{5}{9}$ , that must be the slope.

Report an Error

Example Question #483 : Ssat Upper Level Quantitative (Math)

Find the slope of the line that goes through the points (4t, 8s) and (2t, -9s) .

Possible Answers:

$\frac{6t}{-s}$

$\frac{2t}{17s}$

$\frac{-s}{6t}$

$\frac{17s}{2t}$

Correct answer:

$\frac{17s}{2t}$

Explanation:

Even though there are variables involved in the coordinates of these points, you can still use the slope formula to figure out the slope of the line that connects them.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{-9s-8s}{2t-4t}=\frac{-17s}{-2t}=\frac{17s}{2t}$

Report an Error

Example Question #91 : Expressions & Equations

The equation of a line is 12x-8y=6 . Find the slope of this line.

Possible Answers:

$\frac{3}{2}$

$-\frac{3}{2}$

$-\frac{3}{4}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{2}$

Explanation:

To find the slope, you will need to put the equation in y=mx+b form. The value of will be the slope.

12x-8y=6

Subtract from either side:

8y=12x-6

Divide each side by :

$y=\frac{3}{2}x-\frac{3}{4}$

You can now easily identify the value of .

$m=\frac{3}{2}$

Report an Error

Example Question #1 : How To Find Slope

Find the slope of the line that passes through the points (0,3) and (8,1) .

Possible Answers:

$-\frac{1}{4}$

$\frac{1}{4}$

Correct answer:

$-\frac{1}{4}$

Explanation:

You can use the slope formula to figure out the slope of the line that connects these two points. Just substitute the specified coordinates into the equation and then subtract:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{3-1}{0-8}=\frac{2}{-8}=-\frac{1}{4}$

Report an Error

Example Question #1 : Slope

Find the slope of the following function: 2x-6y=3

Possible Answers:

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

Rewrite the equation in slope-intercept form, y=mx+b .

2x-6y=3

2x=3+6y

2x-3=6y

$\frac{2x-3}{6}=y$

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

The slope is the term, which is $\frac{1}{3}$ .

Report an Error

View SSAT- Upper Level Tutors

Keith
Certified Tutor

Xavier University, Bachelor in Business Administration, Accounting. Ohio University-Main Campus, Masters in Education, Mathem...

View SSAT- Upper Level Tutors

Rose
Certified Tutor

Texas A & M University-Corpus Christi, Associate in Science, Elementary School Teaching. Walden University, Masters in Educat...

View SSAT- Upper Level Tutors

Martine
Certified Tutor

University of South Florida-Main Campus, Bachelors, Science. Windsor University School of Medicine, Doctor of Medicine, Scien...

All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Denver, English Tutors in Seattle, Computer Science Tutors in Denver, ACT Tutors in New York City, Statistics Tutors in Chicago, Statistics Tutors in Dallas Fort Worth, GMAT Tutors in Houston, Calculus Tutors in Philadelphia, Calculus Tutors in Seattle, Statistics Tutors in Los Angeles

Popular Courses & Classes

ACT Courses & Classes in Los Angeles, Spanish Courses & Classes in Washington DC, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Denver, SAT Courses & Classes in Chicago, GRE Courses & Classes in Seattle, ISEE Courses & Classes in Phoenix, LSAT Courses & Classes in Atlanta, ACT Courses & Classes in Seattle, LSAT Courses & Classes in Los Angeles

Popular Test Prep

ACT Test Prep in Miami, LSAT Test Prep in Atlanta, ACT Test Prep in Chicago, ACT Test Prep in Seattle, ACT Test Prep in Denver, ACT Test Prep in Los Angeles, LSAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Atlanta, SSAT Test Prep in San Diego, ISEE Test Prep in Philadelphia

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

SSAT Upper Level Math : Coordinate Geometry

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #201 : Coordinate Geometry

Example Question #202 : Coordinate Geometry

Example Question #1 : How To Find Slope

Example Question #2 : How To Find Slope

Example Question #3 : How To Find Slope

Example Question #1 : Slope

Example Question #483 : Ssat Upper Level Quantitative (Math)

Example Question #91 : Expressions & Equations

Example Question #1 : How To Find Slope

Example Question #1 : Slope

All SSAT Upper Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: