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.

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.

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.

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.

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).

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.

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.

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.

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.