Unit 8 Overview Day Exit Slip

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed and has a constant rate of change.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the function, indicating how steep the line is.

Front

What is the formula for calculating slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What does a zero slope indicate?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning x does not change as y changes.

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 as (0, b) where b is the y-value.

Front

How can you tell if a graph shows an object staying still?

Back

A graph shows an object staying still if the line is horizontal, indicating no change in distance over time.

Front

What does it mean for a function to have a constant rate of change?

Back

A constant rate of change means that the output (y) changes by the same amount for each unit increase in the input (x).