Linear or Non-Linear?

Front

What is a linear equation?

Back

An equation that graphs to a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is a nonlinear equation?

Back

An equation that does not graph to a straight line, which can include curves, circles, and other shapes.

Tags

CCSS.8.F.A.3

Front

Identify the characteristics of linear functions.

Back

Linear functions have a constant rate of change, can be represented by a straight line, and have a degree of 1.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Identify the characteristics of nonlinear functions.

Back

Nonlinear functions have varying rates of change, can be represented by curves, and can have degrees greater than 1.

Front

What is the slope of a linear function?

Back

The slope (m) represents the rate of change of the function, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear function?

Back

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

Front

How can you determine if an equation is linear or nonlinear?

Back

Check if the highest exponent of the variable is 1 (linear) or greater than 1 (nonlinear).

Tags

CCSS.8.F.A.3

Front

What is an example of a linear equation?

Back

y = 2x + 3 is a linear equation.

Tags

CCSS.8.F.A.3

Front

What is an example of a nonlinear equation?

Back

y = x^2 + 2 is a nonlinear equation.

Tags

CCSS.8.F.A.3

Front

What does it mean for a function to be discrete?

Back

A discrete function consists of distinct, separate values, often represented as individual points on a graph.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5