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

Front

What is a constant rate of change?

Back

A constant rate of change describes how much one quantity changes in relation to another quantity, remaining the same over time. It is often represented as the slope in a linear relationship.

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change, subtract the values of the dependent variable (y) by the independent variable (x) for two points and divide the difference in y by the difference in x.

Front

What does the slope of a linear graph represent?

Back

The slope of a linear graph represents the rate of change between the two variables. It indicates how much y changes for a unit change in x.

Front

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

Back

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

Front

How can you identify a linear function from a graph?

Back

A linear function can be identified from a graph if the points form a straight line, indicating a constant rate of change.

Front

What is the y-intercept in a linear equation?

Back

Front

What does a negative slope indicate about a linear relationship?

Back

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

Front

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

Back

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

Front

How do you determine the slope from two points on a line?

Back