Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : x and y Intercept

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : X And Y Intercept

Find the slope of the following line: 6x – 4y = 10

Possible Answers:

–5/2

–1.5

5/2

1.5

Correct answer:

1.5

Explanation:

Putting the equation in y = mx + b form we obtain y = 1.5x – 2.5.

The slope is 1.5.

Report an Error

Example Question #141 : Coordinate Plane

What is the x-intercept of the line in the standard $\left ( x,y \right )$ coordinate plane for the following equation?

$\frac{1}{2}y+10=6x-2$

Possible Answers:

-24

$\frac{4}{3}$

Correct answer:

Explanation:

This question is asking us to find the x-intercept. Remember that the y-value is equal to zero at the x-intercept. Substitute zero in for the y-variable in the equation and solve for the x-variable.

$\frac{1}{2}(0)+10=6x-2$

10=6x-2

Add 2 to both sides of the equation.

10+2=6x-2+2

12=6x

Divide both sides of the equation by 6.

$\frac{12}{6}=\frac{6x}{6}$

x=2

The line crosses the x-axis at 2.

Report an Error

Example Question #1 : X And Y Intercept

What is the equation of a line that has an x-intercept of 4 and a y-intercept of -6?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

The equation of a line can be written in the following form:

y=mx+b

In this formula, m is the slope, and b represents the y-intercept. The problem provides the y-intercept; therefore, we know the following information:

b = -6

We can calculate the slope of the line, because if any two points on the function are known, then the slope can be calculated. Generically, the slope of a line is defined as the function's rise over run, or more technically, the changes in the y-values over the changes in the x-values. It is formally written as the following equation:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The problem provides the two intercepts of the line, which can be written as $\left ( 4,0\right )$ and $\left ( 0,-6\right )$ . Substitute these points into the equation for slope and solve:

$\text{Slope}=\frac{(-6) - 0}{0-4}$

$\text{Slope}=\frac{-6}{-4}$

$\text{Slope}=\frac{3}{2}$ .

Substitute the calculated values into the general equation of a line to get the correct answer:

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

Report an Error

Example Question #142 : Coordinate Plane

What are the y and x intercepts of the given equation, respectively?

y = 2x – 2

Possible Answers:

(0, –2), (–2, 0)

(0, –2), (2, 0)

(0, 2), (2, 0)

(0, –2), (1, 0)

(0, 0), (0, 0)

Correct answer:

(0, –2), (1, 0)

Explanation:

The equation is already in slope-intercept form. The y-intercept is (0, –2). Plug in 0 for y and we get the x intercept of (1, 0)

Report an Error

Example Question #1 : X And Y Intercept

What is the x-intercept of the following line?

y = –3x + 12

Possible Answers:

–4

1/4

–1/4

Correct answer:

Explanation:

The x-intercept occurs when the y-coordinate = 0.

y = –3x + 12

0 = –3x + 12

3x = 12

x = 12/3 = 4

Report an Error

Example Question #2 : X And Y Intercept

What is the $\dpi{100} \small x$ -coordinate of the point in the standard $\dpi{100} \small (x,y)$ coordinate plane at which the two lines $\dpi{100} \small y=4x+8$ and $\dpi{100} \small y=3x-7$ intersect?

Possible Answers:

$\dpi{100} \small -15$

$\dpi{100} \small -7$

$\dpi{100} \small 12$

$\dpi{100} \small 1$

$\dpi{100} \small 15$

Correct answer:

$\dpi{100} \small -15$

Explanation:

$\dpi{100} \small 4x+8=3x-7$

$\dpi{100} \small x+8=-7$

$\dpi{100} \small x=-15$

Report an Error

Example Question #2 : How To Find X Or Y Intercept

What is the -intercept of the line in the standard (x,y) coordinate plane that goes through the points (-4,8) and (4,2) ?

Possible Answers:

Correct answer:

Explanation:

The answer is .

The slope of the line is determined by calculating the change in over the change in x, (8-2)/(-4-4) = -(6/8) .

The point-slope form of the equation for the line is then

(y-2) = -(6/8)*(x-4) . The -intercept is determined by setting x=0 and solving for . This simplifies to y=5 which shows that is the -interecept.

Report an Error

Example Question #3 : X And Y Intercept

What are the and -intercepts of the line defined by the equation:

y = 3x + 6

Possible Answers:

(-2,0) (0,6)

(0,-6) (0,0)

(0,0) (0,0)

(0,6) (2,0)

(2,0) (2,-6)

Correct answer:

(-2,0) (0,6)

Explanation:

To find the intercepts of a line, we must set the and values equal to zero and then solve.

0 = 3x +6

-6 = 3x

x = -2

(-2, 0)

y = 3 (0) + 6

y = 6

(0, 6)

Report an Error

Example Question #1 : How To Find X Or Y Intercept

In the standard (x, y) coordinate plane, a circle has the equation x^2+y^2=64 . At what points does the circle intersect the x-axis?

Possible Answers:

$(1,0)\ \text{and}\ (-1,0)$

$(64,0)\ \text{and}\ (-64,0)$

$(4,0)\ \text{and}\ (-4,0)$

$(8,0)\ \text{and}\ (-8,0)$

$(16,0)\ \text{and}\ (-16,0)$

Correct answer:

$(8,0)\ \text{and}\ (-8,0)$

Explanation:

The generic equation of a circle is (x - x₀)² + (y - y₀)² = r², where (x₀, y₀) are the coordinates of the center and r is the radius.

x^2+y^2=64

In this case, the circle is centered at the origin with a radius of 8. Therefore the circle hits all points that are a distance of 8 from the origin, which results in coordinates of (8,0) and (-8,0) on the x-axis.

Act_math_172_01

Report an Error

Example Question #2 : How To Find X Or Y Intercept

What is the y-intercept of a line that passes through the point (-5,8) with slope of ?

Possible Answers:

(0,-2)

(0,0)

(0,2)

(0,4)

(2,0)

Correct answer:

(0,-2)

Explanation:

Point-slope form follows the format y - y₁ = m(x - x₁).

Using the given point and slope, we can use this formula to get the equation y - 8 = -2(x + 5).

From here, we can find the y-intercept by setting x equal to zero and solving.

y - 8 = -2(0 + 5)

y - 8 = -2(5) = -10

y = -2

Our y-intercept will be (0,-2).

Report an Error

View ACT Math Tutors

Cassandra
Certified Tutor

Marygrove College, Master of Arts, High School Teaching.

View ACT Math Tutors

Joseph
Certified Tutor

Florida Atlantic University, Bachelor of Science, Accounting.

View ACT Math Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

LSAT Courses & Classes in Chicago, ACT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in San Francisco-Bay Area, SAT Courses & Classes in San Diego, MCAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Philadelphia, SSAT Courses & Classes in Los Angeles, SSAT Courses & Classes in Seattle, ACT Courses & Classes in Philadelphia, SSAT Courses & Classes in Philadelphia

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Seattle, MCAT Test Prep in Miami, SAT Test Prep in Seattle, ACT Test Prep in New York City, MCAT Test Prep in Boston, ISEE Test Prep in New York City, MCAT Test Prep in Washington DC, LSAT Test Prep in Houston, SSAT 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

ACT Math : x and y Intercept

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : X And Y Intercept

Example Question #141 : Coordinate Plane

Example Question #1 : X And Y Intercept

Example Question #142 : Coordinate Plane

Example Question #1 : X And Y Intercept

Example Question #2 : X And Y Intercept

Example Question #2 : How To Find X Or Y Intercept

Example Question #3 : X And Y Intercept

Example Question #1 : How To Find X Or Y Intercept

Example Question #2 : How To Find X Or Y Intercept

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: