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How Can You Tell if a Function is Linear or Nonlinear From a Graph? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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I can determine the domain and range of relations and functions.

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I can write an equation from slope-intercept form to standard form.

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Converting Linear Equations to Standard Form

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This video teaches students how to convert linear equations into standard form with integer coefficients.

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can write an equation from standard form to slope-intercept form.

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How Do You Put an Equation in Slope-Intercept Form Into Standard or Point-Slope Form? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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I can write a linear equation from two points in slope-intercept form.

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How Do You Write an Equation of a Line in Slope-Intercept Form If You Have Two Points? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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I can evaluate functions at given values.

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I can determine the domain and range of relations and functions.

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How Do You Find the Domain and Range of a Relation? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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I can determine whether a relation is function.

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Identifying Functions as Relations. Quiz

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Identifying Functions as Relations. Quiz

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I can translate between different representations of relations.

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Representing functions as rules and graphs (Algebra 1, Discovering expressions, equations and functions) - Mathplanet

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Algebra 1 Discovering expressions, equations and functions: Expressions and variables Algebra 1 Discovering expressions, equations and functions: Operations in the right order Algebra 1 Discovering expressions, equations and functions: Composing expressions Algebra 1 Discovering expressions, equations and functions: Composing equations and inequalities

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I can find the rate of change and/or slope of a line given two points or the graph.

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I can graph linear equations in slope-intercept form.

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I can find the rate of change and/or slope of a line given two points or the graph.

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How Do You Find the Rate of Change Between Two Points on a Graph? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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I can graph linear equations using x- and y-intercepts.

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How Do You Use X- and Y-Intercepts To Graph a Line In Standard Form? | Virtual Nerd

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Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. In this non-linear system, users are free to take whatever path through the material best serves their needs. These unique features make Virtual Nerd a viable alternative to private tutoring.

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I can determine x and y intercepts from an equation.

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Monterey Institute for Technology and Education

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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I can identify linear and non-linear equations.

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Related Topics:
Common Core for Grade 8
Common Core for Mathematics
More Math Lessons for Grade 8

Examples, solutions, videos, and lessons to help Grade 8 students learn how to interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
Common Core: 8.F.3

Suggested Learning Targets

I can recognize that a linear function is graphed as a straight line represented as an equation in the form y = mx + b.

I can recognize the equation y = mx + b is the equation of a function whose graph is a straight line where m is the slope and b is the y-intercept

I can provide examples of nonlinear functions using multiple representations (tables, graphs, and equations).

I can compare the characteristics of linear and nonlinear functions using various representations.

The following table shows how to represent functions using graphs, equations, verbal explanations, and tables. Scroll down the page for more examples and solutions.

Interpret the equation y = mx + b as defining a linear function (Common Core 8.F.3)
Linear v Non Linear Functions 1 (8.F.3)
How can you tell if a function is linear?
* Graph is a straight line.
* Equation can be written in the form y = mx + b
Examples of linear, exponential and quadratic functions.

8.F.3-1 - Linear vs. Non-Linear Functions 8.F.3 Types of Functions 8.3 Representing linear functions Linear or Non-Linear Functions Non Linear Functions 8.F.3
In this common core example, we look at non linear functions through the structure of an equation, table and graph. Linear & Nonlinear Functions
Identify functions using tables, graphs or equation.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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Linear and Non-Linear Functions (examples, solutions, videos, worksheets)

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Related Topics: Common Core for Grade 8 Common Core for Mathematics More Math Lessons for Grade 8 Examples, solutions, videos, and lessons to help Grade 8 students learn how to interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.