Call Now to Set Up Tutoring:

(888) 888-0446

PSAT Math : How to find slope of a line

Study concepts, example questions & explanations for PSAT Math

Create An Account

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Coordinate Geometry

Based on the table below, when x = 5, y will equal

x	y
-1	3
0	1
1	-1
2	-3

Possible Answers:

–9

–10

–11

Correct answer:

–9

Explanation:

Use 2 points from the chart to find the equation of the line.

Example: (–1, 3) and (1, –1)

Using the formula for the slope, we find the slope to be –2. Putting that into our equation for a line we get y = –2x + b. Plug in one of the points for x and y into this equation in order to find b. b = 1.

The equation then will be: y = –2x + 1.

Plug in 5 for x in order to find y.

y = –2(5) + 1

y = –9

Report an Error

Example Question #1 : Coordinate Geometry

What is the slope of a line that runs through points: (-2, 5) and (1, 7)?

Possible Answers:

2/3

5/7

3/2

Correct answer:

2/3

Explanation:

The slope of a line is defined as a change in the y coordinates over a change in the x coordinates (rise over run).

To calculate the slope of a line, use the following formula:

Report an Error

Example Question #2 : Coordinate Geometry

A line passes through the points (–3, 5) and (2, 3). What is the slope of this line?

Possible Answers:

2/3

–2/5

–2/3

2/5

-3/5

Correct answer:

–2/5

Explanation:

The slope of the line that passes these two points are simply ∆y/∆x = (3-5)/(2+3) = -2/5

Report an Error

Example Question #2 : Geometry

Which of the following lines intersects the y-axis at a thirty degree angle?

Possible Answers:

y = x - √2

y = x

y = x√3 + 2

y = x√2 - 2

y = x((√3)/3) + 1

Correct answer:

y = x√3 + 2

Explanation:

Line_intersect1

Line_intersect2

Report an Error

Example Question #5 : How To Find Slope Of A Line

What is a possible slope of line y?

Possible Answers:

$\dpi{100} \small -\frac{1}{2}$

$\dpi{100} \small \frac{1}{2}$

–2

Correct answer:

–2

Explanation:

The slope is negative as it starts in quadrant 2 and ends in quadrant 4. Slope is equivlent to the change in y divided by the change in x. The change in y is greater than the change in x, which implies that the slope must be less than –1, leaving –2 as the only possible solution.

Report an Error

Example Question #2 : Coordinate Geometry

What is the slope between (8,3) and (5,7) ?

Possible Answers:

$\frac{3}{4}$

$\frac{1}{6}$

$\frac{2}{5}$

$-\frac{4}{3}$

$-\frac{5}{2}$

Correct answer:

$-\frac{4}{3}$

Explanation:

Let $P_{1}=(8,3)$ and $P_{2}=(5,7)$

$m = (y_{2} - y_{1}) \div (x_{2} - x_{1})$ so the slope becomes $-\frac{4}{3}$ .

Report an Error

Example Question #3 : Coordinate Geometry

$\textup{What is the slope of a line perpendicular to the line with the equation}$

$3y+2x=6\textup{ ?}$

Possible Answers:

$\frac{2}{3}$

$\frac{-2}{3}$

$\frac{-3}{2}$

$\textup{Connot be determined with this information.}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

$\textup{Get into }y=mx+b\textup{ format: }3y=-2x+6\:,\:y=-\frac{2}{3}x+2$

$\textup{Perpendicular slope is negative reciprocal of }-\frac{2}{3}\: \rightarrow \rightarrow \frac{3}{2}$

Report an Error

Example Question #4 : Coordinate Geometry

Axes

Refer to above red line. What is its slope?

Possible Answers:

$\frac{1}{3}$

$-\frac{1}{3}$

Correct answer:

Explanation:

The slope of a line. given two points $(x_{1}, y_{1}), (x_{2}, y_{2})$ can be calculated using the slope formula

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

Set $x_{1}=-6, y_{1}=x_{2}= 0, y_{2}=18$ :

$m = \frac{18-0}{0-(-6)} = \frac{18}{3} = 3$

Report an Error

Example Question #1 : Coordinate Geometry

Which of the following equations has as its graph a line with slope 4?

Possible Answers:

None of the other responses is correct.

4x+y = 7

4x= y + 7

4y + x = 7

4y = x + 7

Correct answer:

4x= y + 7

Explanation:

For each equation, solve for and express in the slope-intercept form y=mx + b . The coefficient of will be the slope.

4x+y = 7

4x+y- 4x = 7 - 4x

y = -4x + 7

Slope: m = -4

4y + x = 7

4y + x- x = 7 - x

4y = -x + 7

$\frac{4y}{4} =\frac{ -x + 7}{4}$

$y = - \frac{1}{4}x + \frac{7}{4}$

Slope: $m = - \frac{1}{4}$

4y = x + 7

$\frac{4y}{4} =\frac{ x + 7}{4}$

$y = \frac{1}{4}x + \frac{7}{4}$

Slope: $m = \frac{1}{4}$

4x= y + 7

4x- 7= y + 7 - 7

y = 4x - 7

Slope: m = 4 .

The line of the equation

4x= y + 7

is the one with slope 4.

Report an Error

View PSAT Mathematics Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

View PSAT Mathematics Tutors

Paul
Certified Tutor

University of Phoenix-Albuquerque Campus, Bachelor of Science, Computer and Information Systems Security.

View PSAT Mathematics Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

All PSAT Math Resources

10 Diagnostic Tests 421 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Atlanta, French Tutors in Dallas Fort Worth, Biology Tutors in Phoenix, SSAT Tutors in Phoenix, Chemistry Tutors in Miami, Reading Tutors in New York City, Algebra Tutors in San Diego, Reading Tutors in Houston, SAT Tutors in Chicago, Physics Tutors in Washington DC

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, GMAT Courses & Classes in San Diego, LSAT Courses & Classes in Seattle, GRE Courses & Classes in Miami, LSAT Courses & Classes in Denver, GRE Courses & Classes in Philadelphia, SAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Phoenix, GRE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Washington DC

Popular Test Prep

ISEE Test Prep in San Diego, GMAT Test Prep in Phoenix, LSAT Test Prep in San Diego, GMAT Test Prep in Miami, MCAT Test Prep in Seattle, ACT Test Prep in Atlanta, SAT Test Prep in Los Angeles, MCAT Test Prep in Washington DC, LSAT Test Prep in Washington DC, SSAT Test Prep in Chicago

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

PSAT Math : How to find slope of a line

Study concepts, example questions & explanations for PSAT Math

All PSAT Math Resources

Example Questions

Example Question #1 : Coordinate Geometry

Example Question #1 : Coordinate Geometry

Example Question #2 : Coordinate Geometry

Example Question #2 : Geometry

Example Question #5 : How To Find Slope Of A Line

Example Question #2 : Coordinate Geometry

Example Question #3 : Coordinate Geometry

Example Question #4 : Coordinate Geometry

Example Question #1 : Coordinate Geometry

All PSAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: