Identify the Equations that are Linear Functions

The video tutorial discusses how to identify linear functions from a set of equations. It explains the characteristics of linear functions, such as being in the form y = mx + b, and emphasizes that no variable should be raised to a power greater than 1. The tutorial analyzes five answer choices, identifying which are linear and which are quadratic, and concludes with a summary of the correct linear function choices.

What is the standard form of a linear function?

• y = mx^2 + b

• y = ax + b^2

• y = mx + b

• y = ax^2 + bx + c

Which of the following is NOT a characteristic of a linear function?

• The y-intercept is represented by b.

• The equation is in the form y = mx + b.

• The x variable is raised to the power of 1.

• The x variable is squared.

Why is option A not considered a linear function?

• It has a constant term.

• It is in slope-intercept form.

• The x variable is squared.

• It has a negative slope.

Which option is a linear function with a negative slope?

• Option A

• Option E

• Option B

• Option D

What are the correct linear function choices from the given options?

• A, C, D

• B, C, E

• C, D, E

• A, B, D