Linear vs. Non-Linear Graphs

Front

What is a linear graph?

Back

A linear graph is a graph that represents a linear relationship between two variables, where the relationship can be expressed with a straight line.

Front

What is a nonlinear graph?

Back

A nonlinear graph is a graph that represents a nonlinear relationship between two variables, where the relationship cannot be expressed with a straight line.

Front

What does the slope of a linear graph represent?

Back

The slope of a linear graph represents the rate of change between the two variables.

Front

What is the equation of a linear graph?

Back

The equation of a linear graph can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in a linear graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is 0.

Front

What are some examples of linear relationships?

Back

Examples of linear relationships include distance vs. time at constant speed, and the cost of items at a fixed price.

Front

What are some examples of nonlinear relationships?

Back

Examples of nonlinear relationships include the path of a thrown ball, and the growth of a population over time.

Front

How can you identify a linear graph visually?

Back

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

Front

How can you identify a nonlinear graph visually?

Back

A nonlinear graph can be identified visually by its curved line or any shape that is not straight, indicating a variable rate of change.

Front

What is the significance of the x-axis in a graph?

Back

The x-axis represents the independent variable in a graph, which is the variable that is manipulated or changed.