Constant Rate of Change 7.4A

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time. It is often represented by a linear function.

Front

How can you identify a constant rate of change in a table?

Back

In a table, a constant rate of change is identified when the differences between consecutive values in one column are the same.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph. A positive slope indicates an increase, while a negative slope indicates a decrease.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope (rise over run) and the y-intercept, then use the slope-intercept form.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What does a horizontal line indicate about the rate of change?

Back

A horizontal line indicates a rate of change of zero, meaning that the dependent variable does not change as the independent variable changes.

Front

What does a vertical line indicate about the relationship between variables?

Back

A vertical line indicates that the independent variable does not change, which means it is not a function.

Front

How can you tell if a graph represents a linear relationship?

Back

A graph represents a linear relationship if it forms a straight line, indicating a constant rate of change.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and can be represented by a straight line, while a non-linear function has a variable rate of change and is represented by a curve.