7.4A & 7.7A Constant Rate of Change & Linear Relationships

Front

What is the constant rate of change?

Back

The constant rate of change is the ratio of the change in the dependent variable to the change in the independent variable, indicating how much one quantity changes in relation to another.

Front

How do you identify a linear relationship from a table of values?

Back

A linear relationship can be identified if the rate of change between the quantities is constant, meaning the difference in the dependent variable divided by the difference in the independent variable remains the same.

Front

What does the slope of a linear equation represent?

Back

The slope of a linear equation represents the rate of change of the dependent variable with respect to the independent variable.

Front

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

Back

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Front

What is a y-intercept?

Back

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases, showing an inverse relationship.

Front

How do you determine the rate of change from a word problem?

Back

To determine the rate of change from a word problem, identify the quantities involved, find the difference in those quantities, and divide by the difference in time or another relevant variable.

Front

What is the formula for calculating the rate of change?

Back