Linear Intro Formative

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its rate of change is not constant.

Front

How can you identify a linear function from a graph?

Back

A linear function will have a constant slope and will graph as a straight line.

Front

What does the coordinate (0, -6) represent on a graph?

Back

The coordinate (0, -6) represents a point on the y-axis where the value of y is -6.

Front

What does the coordinate (4, -6) represent on a graph?

Back

The coordinate (4, -6) represents a point on the graph where x is 4 and y is -6.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the function f(x) = mx + b.

Front

How do you determine if a function is linear or nonlinear from a table of values?

Back

If the differences between consecutive y-values are constant for equal intervals of x, the function is linear. If not, it is nonlinear.

Front

What is the general form of a linear equation?

Back

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

Front

What is a graph of a linear function?

Back

A graph of a linear function is a straight line that can extend infinitely in both directions.