Linear vs Nonlinear Graphs

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear relationship between two variables, forming a straight line.

Front

What is a nonlinear graph?

Back

A nonlinear graph is a graph that represents a nonlinear relationship between two variables, which does not form a straight line.

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 does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x in a linear equation.

Front

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

Back

The y-intercept (b) represents the value of y when x is 0 in a linear equation.

Front

How can you identify a linear function from a graph?

Back

A linear function can be identified from a graph if it forms a straight line.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and form straight lines, while nonlinear functions have varying rates of change and can form curves.

Front

Can a linear graph have multiple y-intercepts?

Back

No, a linear graph can only have one y-intercept.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which forms a parabola.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if each input (x-value) has exactly one output (y-value).