Identifying Linear Functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

Identify a characteristic of linear functions.

Back

Linear functions have a constant rate of change, meaning the slope (m) is the same between any two points on the line.

Tags

CCSS.HSF-LE.A.1B

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Which of the following is a linear function: y = 4x + 1 or y = x^2?

Back

y = 4x + 1 is a linear function; y = x^2 is not.

Tags

CCSS.8.F.A.3

Front

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

Back

If the differences between consecutive y-values are constant for equal differences in x-values, the function is linear.

Tags

CCSS.HSF-LE.A.1B

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. Examples include quadratic functions, exponential functions, etc.

Tags

CCSS.8.F.A.3

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is a constant.