Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Graphing Lines

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Identify A Point In Pre Algebra

What is the slope of a line that is perpendicular to y=44x+92 ?

Possible Answers:

m=-44

m=92

m=44

$m=-\frac{1}{44}$

Correct answer:

$m=-\frac{1}{44}$

Explanation:

The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.

If an equation is in slope-intercept form, , we use the from our equation as our original slope.

In this case m=44

First flip the sign m=-44

To find the reciprocal you take the integer and make it a fraction by placing a over it. If it is already a fraction just flip the numerator and denominator.

Do this to make the slope

$m=-\frac{1}{44}$

The slope of the perpendicular line is

$m=-\frac{1}{44}$ .

Report an Error

Example Question #42 : Graphing

What is the slope of the following line:

2y=3x+4

Possible Answers:

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

To be able to identify the slope of a line, we need to get it in the form of

y=mx+b .

To do this we need to change the coefficient of y to be instead of . To do this, divide both sides of the equation by .

$y=\frac{3}{2}x+2$

Now we can tell what the value of m, or the slope, is: $\frac{3}{2}$

Report an Error

Example Question #43 : Graphing

(3,5) and (4,7) are two points on a line. What is the slope of this line?

Possible Answers:

$\frac{1}{2}$

Correct answer:

Explanation:

The slope of the line is determined by $\frac{rise}{run}$ . In other words, we can use the formula $\frac{y_2-y_1}{x_2-x_1}$ .

Let's choose the coordinate (3,5) to be ( x_1 , y_1 ) and (4,7) to be ( x_2 , y_2 ).

We can now use the formula above:

$\frac{7-5}{4-3}=2$

Report an Error

Example Question #44 : Graphing

What is the slope of a line containing the points (1,12) and (-7, 8) ?

Possible Answers:

$2\frac{1}{2}$

$\frac{1}{2}$

$3\tfrac{1}{3}$

$\frac{2}{3}$

Correct answer:

$\frac{1}{2}$

Explanation:

The formula to calculate slope between two points in a line is $m=\frac{Y-y}{X-x}$ , for points (X,Y) and (x,y) .

If we pick (1,12) as our (X,Y) and (-7, 8) as our (x,y) , then:

$m = \frac{12-8}{1-(-7)}$
This simplifies to $m=\frac{4}{8}$ , which can be reduced to $m=\frac{1}{2}$

Report an Error

Example Question #11 : Graphing Lines

What is the slope-intercept form of a line?

Possible Answers:

y=mx+b

ax+y=b

y=ax+b

y=bx+m

ax+by=0

Correct answer:

y=mx+b

Explanation:

The slope-intercept form of a line is y=mx+b .

Report an Error

Example Question #12 : Graphing Lines

Which of the follow lines is parallel to:

y=14x+7

Possible Answers:

Cannot be determined

y=14x+9

y=-14x+9

$y=\frac{1}{14}x+9$

$y=\frac{-1}{14}x+9$

Correct answer:

y=14x+9

Explanation:

It is known that parallel lines have the same slope and therefore a line that is parallel to:

y=14x+7

MUST have the same slope of .

Report an Error

Example Question #51 : Graphing

Write an equation in point-slope form for a line parallel to the line $\small y=4x+4\small$

that goes through the point: $\small \small(1,8)$ .

Possible Answers:

$\small y-4=4(x-4)$

$\small x-\frac{1}{4}y=-1$

$\small y-8=4(x-1)$

$\small y-4=4(x-8)$

$\small y-1=4(x-8)$

Correct answer:

$\small y-8=4(x-1)$

Explanation:

You know that point-slope form is: $y-y_{1}=m(x-x_{1})$

and therefore you must look at the slope of your equation given which is $\small 4$ .

From there you just plug in what is given:

$\small 8$ for $y_{1}$ ,

$\small 4$ for $\small m$ ,

and $\small 1$ for $x_{1}$

Report an Error

Example Question #51 : Graphing

A line graphed on the coordinate plane below. Graph_of_y_-2x_4

Give the equation of the line in slope intercept form.

Possible Answers:

$\dpi{100} \small y=-2x-4$

$\dpi{100} \small y=2x+4$

$\dpi{100} \small y=2x-4$

$\dpi{100} \small y=-2x+4$

$\dpi{100} \small y=-x+4$

Correct answer:

$\dpi{100} \small y=-2x+4$

Explanation:

The slope of the line is $\dpi{100} \small -2$ and the y-intercept is $\dpi{100} \small 4$ .

The equation of the line is $\dpi{100} \small y=-2x+4$ .

Report an Error

Example Question #52 : Graphing

What is the slope and y-intercept of the equation

$y = \frac{1}{4}x -5\textup{ ?}$

Possible Answers:

$\textup{slope} = -5$

$\textup{y-intercept} = \frac{1}{4}x$

$\textup{slope} = \frac{1}{4}$

$\textup{y-intercept} = 5$

$\textup{slope} = \frac{1}{4}$

$\textup{y-intercept} = -5$

$\textup{slope} = \frac{1}{4}x$

$\textup{y-intercept} = -5$

$\textup{slope} = -5$

$\textup{y-intercept} = \frac{1}{4}$

Correct answer:

$\textup{slope} = \frac{1}{4}$

$\textup{y-intercept} = -5$

Explanation:

The slope intercept formula is:

y = mx + b

m = slope

b = y-intercept

y=1/4x-5

m=1/4

b=-5

slope = 1/4

y-intercept = -5

Report an Error

Example Question #53 : Graphing

What is the slope and y-intercept of the equation below?

$y= -\frac{1}{2}x -8$

Possible Answers:

Slope = $-\frac{1}{2}$

Y-intercept =

Slope = $\frac{1}{2}x$

Y-intercept =

Slope = $-\frac{1}{2}$

Y-intercept =

Slope = $\frac{1}{2}$

Y-intercept =

Slope = $-\frac{1}{2}x$

Y-intercept =

Correct answer:

Slope = $-\frac{1}{2}$

Y-intercept =

Explanation:

In order to understand this question you must understand what slope intercept form is.

y= mx + b

= slope

= y-intercept

The slope is $-\frac{1}{2}$

The y-intercept is

Report an Error

View Pre-Algebra Tutors

Anthony
Certified Tutor

CUNY New York City College of Technology, Bachelor of Science, Civil Engineering.

View Pre-Algebra Tutors

Chiquita
Certified Tutor

Troy University, Bachelor of Science, Education. University of Phoenix-Atlanta Campus, Master of Arts, Adult and Continuing E...

View Pre-Algebra Tutors

Sharif
Certified Tutor

NCCU, Bachelors, Physics and Mathematics.

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Seattle, Computer Science Tutors in San Francisco-Bay Area, English Tutors in Houston, Math Tutors in San Diego, English Tutors in Washington DC, Calculus Tutors in Denver, Calculus Tutors in Boston, ACT Tutors in Houston, French Tutors in Dallas Fort Worth, SAT Tutors in Chicago

Popular Courses & Classes

ISEE Courses & Classes in Los Angeles, ISEE Courses & Classes in Seattle, GRE Courses & Classes in New York City, ISEE Courses & Classes in Boston, SSAT Courses & Classes in Boston, ACT Courses & Classes in Philadelphia, SAT Courses & Classes in New York City, MCAT Courses & Classes in Boston, SAT Courses & Classes in Phoenix, MCAT Courses & Classes in Seattle

Popular Test Prep

GMAT Test Prep in Philadelphia, LSAT Test Prep in Washington DC, LSAT Test Prep in Boston, SSAT Test Prep in Washington DC, SAT Test Prep in Houston, SSAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Dallas Fort Worth, GRE Test Prep in New York City, GRE Test Prep in Philadelphia, ACT Test Prep in Washington DC

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

Pre-Algebra : Graphing Lines

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #11 : How To Identify A Point In Pre Algebra

Example Question #42 : Graphing

Example Question #43 : Graphing

Example Question #44 : Graphing

Example Question #11 : Graphing Lines

Example Question #12 : Graphing Lines

Cannot be determined

Example Question #51 : Graphing

Example Question #51 : Graphing

Example Question #52 : Graphing

Example Question #53 : Graphing

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: