Linear Relationships Test Review

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 slope of a line?

Back

The slope of a line is a measure of its steepness, represented as the ratio of the rise (change in y) over the run (change in x). It indicates the rate of change of the function.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It is the value of y when x = 0.

Front

What is a nonlinear function?

Back

A nonlinear function is a function whose graph is not a straight line. It can be represented by equations that include exponents, roots, or other non-linear operations.

Tags

CCSS.8.F.A.3

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value). This means that no x-value is paired with more than one y-value.

Tags

CCSS.8.F.A.1

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5

Front

What is the difference between a linear and a nonlinear graph?

Back

A linear graph forms a straight line, while a nonlinear graph can take various shapes, such as curves or parabolas.

Tags

CCSS.8.F.A.3

Front

What is an example of a linear function?

Back

An example of a linear function is y = 2x + 3, which has a constant slope of 2.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which forms a parabola.

Tags

CCSS.8.F.A.3

Front

What does 'constant rate of change' mean?

Back

A constant rate of change means that the output (y-value) changes at a consistent rate for each unit change in the input (x-value), characteristic of linear functions.

Tags

CCSS.HSF-LE.A.1B