Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Finding Slope and Intercepts

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Finding Slope And Intercepts

Find the slope and y-intercept of the line depicted by the equation:
$\small y=-\frac{1}{3}x+7$

Possible Answers:

$\small slope=-3; y-intercept=\frac{1}{7}$

$\small slope=-\frac{1}{3}; y-intercept=-7$

$\small slope=-3; y-intercept=-\frac{1}{7}$

$\small slope=-\frac{1}{3}; y-intercept=7$

Correct answer:

$\small slope=-\frac{1}{3}; y-intercept=7$

Explanation:

The equation is written in slope-intercept form, which is:
$\small y=mx+b$

where is equal to the slope and is equal to the y-intercept. Therefore, a line depicted by the equation

$\small y=-\frac{1}{3}x+7$

has a slope that is equal to $-\frac{1}{3}$ and a y-intercept that is equal to .

Report an Error

Example Question #2 : Finding Slope And Intercepts

Find the slope and y-intercept of the line that is represented by the equation $y=\frac{2}{3}x-8$

Possible Answers:

$\textup{slope = }\frac{2}{3}\textup{, y-intercept = } 8$

$\textup{slope = }\frac{2}{3}\textup{, y-intercept = }-8$

$\textup{slope = } 8\textup{, y-intercept = } \frac{2}{3}$

$\textup{slope = }-8\textup{, y-intercept = } \frac{2}{3}$

$\textup{slope = }\frac{3}{2}\textup{, y-intercept = }-8$

Correct answer:

$\textup{slope = }\frac{2}{3}\textup{, y-intercept = }-8$

Explanation:

The slope-intercept form of a line is: y=mx+b , where is the slope and is the y-intercept.

In this equation, $m \textup{ = }\frac{2}{3}$ and $y \textup{ = }-8$

Report an Error

Example Question #1 : Finding Slope And Intercepts

The grade of a road is defined as the slope of the road expressed as a percent as opposed to a fraction or decimal.

A road is graded so that for every 40 feet of horizontal distance, the road rises 6 feet. What is the grade of the road?

Possible Answers:

$20 \%$

$12 \%$

$18 \%$

$15 \%$

Correct answer:

$15 \%$

Explanation:

The slope is the ratio of the vertical change (rise) to the horizontal change (run), so the slope of the road, as a fraction, is $\frac{6}{40}$ . Multiply this by 100% to get its equivalent percent:

$\frac{6}{40} \times 100 \% = 15 \%$

This is the correct choice.

Report an Error

Example Question #4 : Finding Slope And Intercepts

Line

Refer to above red line. What is its slope?

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

Given two points, $(x_{1}, y_{1}), (x_{2}, y_{2})$ , the slope can be calculated using the following formula:

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

Set $x_{1}=-4, y_{1}=x_{2}= 0, y_{2}=8$ :

$m = \frac{8-0}{0-(-4)} = \frac{8}{4} = 2$

Report an Error

Example Question #2 : Finding Slope And Intercepts

What is the slope and y-intercept of the following line?

3x+2y=-6

Possible Answers:

$m=-\frac{3}{2};b=-3$

$m=\frac{2}{3};b=-3$

$m=-3;b=\frac{3}{2}$

$m=-\frac{2}{3};b=3$

Correct answer:

$m=-\frac{3}{2};b=-3$

Explanation:

Convert the equation into slope-intercept form, which is y=mx+b , where is the slope and is the y-intercept.

3x+2y=-6

3x-3x+2y=-6-3x

2y=-6-3x

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

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

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

b=-3

Report an Error

Example Question #6 : Finding Slope And Intercepts

What is the slope of the line perpendicular to 3x + 6y=93 ?

Possible Answers:

$\frac{31}{2}$

$\frac{-1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

In order to find the perpendicular of a given slope, you need that given slope! This is easy to compute, given your equation. Just get it into slope-intercept form. Recall that it is y=mx+b

Simplifying your equation, you get:

6y=-3x+93

$y=\frac{-1}{2}x+\frac{93}{6}$

This means that your perpendicular slope (which is opposite and reciprocal) will be .

Report an Error

Example Question #6 : Finding Slope And Intercepts

What is the equation of a line with a slope perpendicular to the line passing through the points (2,4) and (7,19) ?

Possible Answers:

y=5x-15

$y=\frac{-1}{3}x+94$

y=9x+23

y=3x-34

$y=\frac{-1}{5}x+17$

Correct answer:

$y=\frac{-1}{3}x+94$

Explanation:

First, you should solve for the slope of the line passing through your two points. Recall that the equation for finding the slope between two points is:

$\frac{rise}{run} = \frac{y_2-y_1}{x_2-x1}$

For your data, this is

$\frac{19-4}{7-2}=\frac{15}{5}=3$

Now, recall that perpendicular slopes are opposite and reciprocal. Therefore, the slope of your line will be $\frac{-1}{3}$ . Given that all of your options are in slope-intercept form, this is somewhat easy. Remember that slope-intercept form is:

y=mx+b

is your slope. Therefore, you are looking for an equation with $m=\frac{-1}{3}$

The only option that matches this is:

$y=\frac{-1}{3}x+94$

Report an Error

Example Question #6 : Finding Slope And Intercepts

What is the x-intercept of 2y+3x=159 ?

Possible Answers:

$\frac{159}{2}$

$\frac{159}{5}$

No x-intercept

Correct answer:

Explanation:

Remember, to find the x-intercept, you need to set equal to zero. Therefore, you get:

3x=159

Simply solving, this is x=53

Report an Error

Example Question #6 : Finding Slope And Intercepts

Find the slope of the line that has the equation: 2x-3y=4

Possible Answers:

$\frac {4}{3}$

$-\frac {2}{3}$

$\frac {2}{3}$

Correct answer:

$\frac {2}{3}$

Explanation:

Step 1: Move x and y to opposite sides...

We will subtract 2x from both sides...

Result, -3y=-2x+4

Step 2: Recall the basic equation of a line...

y=mx+b , where the coefficient of y is .

Step 3: Divide every term by to change the coefficient of y to :

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

Step 4: Reduce...

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

Step 5: The slope of a line is the coefficient in front of the x term...

So, the slope is $\frac {2}{3}$

Report an Error

Example Question #1 : Finding Slope And Intercepts

Find the slope of the following equation: y=-9(-x+6)

Possible Answers:

$\frac{1}{9}$

$\textup{The slope cannot be determined.}$

Correct answer:

Explanation:

In order to find the slope, we will need the equation in slope-intercept form.

y=mx+b

Distribute the negative nine through the binomial.

y=(-9)(-x)+(-9)(6) = 9x-54

The slope is:

Report an Error

View Tutors

Dossevi
Certified Tutor

cole Ste Genevive Versailles, Bachelor of Science, Mathematics. Institut National Polytechnique de Grenoble, Master of Scienc...

View Tutors

Shaftab
Certified Tutor

University of Engineering and Technology, Lahore, Pakistan, Bachelor of Engineering, Electrical Engineering. Quaid-i-Azam Uni...

View Tutors

Jeremy
Certified Tutor

McDaniel College, Bachelor in Arts, Communication, General. Inter American University of Puerto Rico-San German, Master of Ar...

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Washington DC, MCAT Tutors in Denver, Chemistry Tutors in Atlanta, ACT Tutors in San Francisco-Bay Area, Biology Tutors in Denver, Reading Tutors in Dallas Fort Worth, SSAT Tutors in Los Angeles, French Tutors in Denver, Biology Tutors in Miami, French Tutors in Los Angeles

Popular Courses & Classes

SAT Courses & Classes in Seattle, ISEE Courses & Classes in Phoenix, MCAT Courses & Classes in Phoenix, ACT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Seattle, Spanish Courses & Classes in Phoenix, ACT Courses & Classes in Los Angeles, Spanish Courses & Classes in Denver, MCAT Courses & Classes in Houston, MCAT Courses & Classes in Atlanta

Popular Test Prep

SAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Houston, ISEE Test Prep in Miami, ISEE Test Prep in Seattle, SSAT Test Prep in Philadelphia, LSAT Test Prep in Chicago, ISEE Test Prep in Philadelphia, LSAT Test Prep in Philadelphia, ACT Test Prep in San Diego, ACT Test Prep in San Francisco-Bay Area

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

GED Math : Finding Slope and Intercepts

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Finding Slope And Intercepts

Example Question #2 : Finding Slope And Intercepts

Example Question #1 : Finding Slope And Intercepts

Example Question #4 : Finding Slope And Intercepts

Example Question #2 : Finding Slope And Intercepts

Example Question #6 : Finding Slope And Intercepts

Example Question #6 : Finding Slope And Intercepts

Example Question #6 : Finding Slope And Intercepts

Example Question #6 : Finding Slope And Intercepts

Example Question #1 : Finding Slope And Intercepts

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: