Linear and NonLinear

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It has a constant rate of change.

Tags

CCSS.HSF-LE.A.1B

Front

What is a nonlinear relationship?

Back

A nonlinear relationship is a relationship between two variables that does not form a straight line when graphed. The rate of change varies.

Tags

CCSS.8.F.A.3

Front

How can you identify a linear function from a graph?

Back

A linear function can be identified by a straight line on the graph, indicating a constant rate of change.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How can you identify a nonlinear function from a graph?

Back

A nonlinear function can be identified by a curve or any shape that is not a straight line on the graph.

Tags

CCSS.8.F.A.3

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (X,Y).

Tags

CCSS.5.G.A.1

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of the dependent variable when the independent variable is zero.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is a table of values?

Back

A table of values is a set of ordered pairs that shows the relationship between two variables, often used to determine if the relationship is linear or nonlinear.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you determine if a table of values represents a linear function?

Back

To determine if a table represents a linear function, check if the differences between consecutive y-values are constant for equal differences in x-values.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2