Linear vs Nonlinear Graphs With Tables

Front

What is the definition of a linear relationship in graphs?

Back

A linear relationship in graphs is represented by a straight line, indicating a constant rate of change between two variables.

Tags

CCSS.HSF-LE.A.1B

Front

What is the definition of a nonlinear relationship in graphs?

Back

A nonlinear relationship in graphs is represented by a curve, indicating that the rate of change between two variables is not constant.

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CCSS.8.F.A.3

Front

How can you identify a linear graph visually?

Back

A linear graph can be identified visually by its straight line, which shows a constant slope.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does a constant rate of change mean in a linear function?

Back

A constant rate of change means that for every unit increase in the independent variable, the dependent variable increases by a fixed amount.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of a linear graph?

Back

The slope of a linear graph is the ratio of the vertical change to the horizontal change between any two points on the line.

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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, representing the value of the dependent variable when the independent variable is zero.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is a quadratic function, such as y = x^2, which produces a parabolic graph.

Tags

CCSS.8.F.A.3

Front

What is the significance of the first graph being linear in the context of the quiz?

Back

The significance is that it demonstrates a constant rate of change, which is a key characteristic of linear relationships.

Tags

CCSS.HSF-LE.A.1B

Front

How do you determine if a graph is linear or nonlinear using a table of values?

Back

You can determine if a graph is linear or nonlinear by checking if the differences between consecutive y-values are constant for equal intervals of x.

Tags

CCSS.8.F.A.3

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.F.A.3

CCSS.8.EE.B.6