Rate of change from tables

Front

What is the rate of change in a linear relationship?

Back

The rate of change in a linear relationship is the constant amount by which the dependent variable changes for each unit change in the independent variable, often represented as the slope of the line.

Tags

CCSS.HSF-LE.A.1B

Front

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

Back

To calculate the rate of change from a table of values, take the difference in the dependent variable (y-values) and divide it by the difference in the independent variable (x-values) for two points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the slope-intercept form of a linear equation?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If the rate of change is negative, what does that indicate about the relationship between the variables?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

What does a rate of change of 0 indicate about a function?

Back

A rate of change of 0 indicates that the function is constant; the dependent variable does not change as the independent variable changes.

Tags

CCSS.HSF-LE.A.1B

Front

What is the significance of a linear table in relation to rate of change?

Back

A linear table indicates that the rate of change is constant across the values, meaning the relationship between the variables can be represented by a straight line.

Tags

CCSS.HSF-LE.A.1B

Front

How can you determine if a table represents a linear function?

Back

A table represents a linear function if the rate of change between any two points is the same.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does it mean if a table has a rate of change of 5?

Back

A rate of change of 5 means that for every 1 unit increase in the independent variable, the dependent variable increases by 5 units.

Tags

CCSS.HSF-LE.A.1B

Front

What is the relationship between slope and rate of change?

Back

The slope of a line is a numerical representation of the rate of change; it indicates how much the dependent variable changes for a unit change in the independent variable.

Tags

CCSS.8.EE.B.5