Linear Tables

Front

What is a linear table?

Back

A linear table is a table of values that represents a linear function, where the relationship between the input (x) and output (y) is constant, resulting in a straight line when graphed.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

How can you determine if a function is linear from a table?

Back

A function is linear if the differences between consecutive y-values divided by the differences between consecutive x-values (the slope) are constant.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

How do you find the y-intercept from a table?

Back

The y-intercept can be found by identifying the value of y when x is 0 in the table.

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the term 'nonlinear' mean?

Back

Nonlinear refers to a relationship between variables that does not form a straight line when graphed, indicating a varying rate of change.

Tags

CCSS.8.F.A.3

Front

How can you identify the slope from a table of values?

Back

To identify the slope, calculate the change in y divided by the change in x between two points in the table.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a real-world context?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various real-world scenarios.

Tags

CCSS.8.EE.B.5