Linear or Nonlinear

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear equation?

Back

A nonlinear equation is an equation that does not form a straight line when graphed. It can include curves, circles, or other shapes.

Front

What does it mean if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph. This means it has a constant rate of change.

Front

What does it mean if a function is nonlinear?

Back

A function is nonlinear if it cannot be represented by a straight line on a graph. This means its rate of change varies.

Front

Give an example of a linear function.

Back

An example of a linear function is f(x) = 2x + 3.

Front

Give an example of a nonlinear function.

Back

An example of a nonlinear function is f(x) = x^2.

Front

What is the slope in a linear equation?

Back

The slope is a number that describes the steepness of the line. It is represented by 'm' in the equation y = mx + b.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by 'b' in the equation y = mx + b.

Front

How can you tell if a table of values represents a linear function?

Back

If the differences between the y-values are constant for equal differences in the x-values, the table represents a linear function.

Front

How can you tell if a table of values represents a nonlinear function?

Back

If the differences between the y-values are not constant for equal differences in the x-values, the table represents a nonlinear function.