Linear or nonlinear

Front

What is a linear equation?

Back

Front

What is a nonlinear equation?

Back

A nonlinear equation is an equation that does not graph as a straight line. It may include variables raised to a power other than one, products of variables, or variables in the denominator.

Front

How can you identify a linear graph?

Back

A linear graph is identified by its straight line, which indicates a constant rate of change.

Front

How can you identify a nonlinear graph?

Back

A nonlinear graph is identified by its curved or non-straight line, indicating a variable rate of change.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept of a linear equation?

Back

Front

What does it mean if an equation has a variable in the denominator?

Back

If an equation has a variable in the denominator, it is considered nonlinear because it does not represent a constant rate of change.

Front

What is the general form of a linear equation?

Back

Front

What is an example of a nonlinear equation?

Back

Front

What is the significance of exponents in determining linearity?

Back

If an equation contains exponents greater than one, it is nonlinear. Linear equations have variables only to the first power.