Linear or NonLinear

Front

What is a linear equation?

Back

An equation that can be written in the form y = mx + b, where m and b are constants.

Front

What is a nonlinear equation?

Back

An equation that cannot be written in the form y = mx + b, often involving exponents, roots, or other non-linear operations.

Front

Identify the characteristics of a linear function.

Back

A linear function has a constant rate of change, graphs as a straight line, and can be expressed in the form y = mx + b.

Front

Identify the characteristics of a nonlinear function.

Back

A nonlinear function does not have a constant rate of change, graphs as a curve, and may include variables raised to a power other than one.

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Give an example of a linear equation.

Back

y = 2x + 3 is a linear equation.

Front

Give an example of a nonlinear equation.

Back

y = x^2 + 2 is a nonlinear equation.

Front

What is the general form of a linear equation in two variables?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant slope and graphs as a straight line, while a nonlinear function has a variable slope and graphs as a curve.