Arithmetic Sequences -> Linear Functions

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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CCSS.HSF.BF.A.2

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

Tags

CCSS.HSF.BF.A.2

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What do the variables m and b represent in the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope of the line, and b represents the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you identify the y-intercept from an equation?

Back

The y-intercept can be identified as the value of y when x = 0 in the equation.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How can you convert an arithmetic sequence formula to slope-intercept form?

Back

To convert an arithmetic sequence formula to slope-intercept form, express it in the form y = mx + b, identifying the slope and y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

The y-intercept indicates the point where the line crosses the y-axis, representing the output value when the input is zero.

Front

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

Back

A table represents a linear function if the differences between consecutive y-values are constant for equal differences in x-values.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2