Linear Functions

Front

Is this graph a function or not a function?

Back

Not a Function

Front

Is this graph linear?

Back

Nonlinear

Front

Does this graph represent a positive or negative slope?

Back

Positive

Front

Which variable in the equation represents the y-intercept?

Back

b

Front

Does this graph represent a positive or negative slope?

Back

Negative

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does the 'm' represent in the equation of a linear function?

Back

The 'm' represents the slope of the line.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the equation y = mx + b.

Front

How can you determine if a graph is a function using the vertical line test?

Back

If a vertical line intersects the graph at more than one point, then the graph is not a function.