Is it 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 quadratic, cubic, exponential, and other types of equations.

Front

Identify if the equation y = 2x + 3 is linear or nonlinear.

Back

Linear

Front

Identify if the equation y = x^2 + 2 is linear or nonlinear.

Back

Nonlinear

Front

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

Back

The general form is Ax + By = C, where A, B, and C are constants.

Front

What is the slope of a linear equation?

Back

The slope (m) of a linear equation represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What does it mean if an equation has a degree higher than 1?

Back

If an equation has a degree higher than 1, it is considered nonlinear.

Front

Give an example of a linear equation.

Back

An example of a linear equation is y = 4x - 1.

Front

Give an example of a nonlinear equation.

Back

An example of a nonlinear equation is y = 3x^3 + 2.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.