Linear Function Identification: Analyzing Mathematical Expressions

Question

Determine which of the following expressions describes a linear function?

00:00 Which equations represent a linear function?

00:03 Let's simplify each equation

00:08 Any equation with X raised to a power is not a linear function

00:12 We'll use this method for all representations, simplify and observe

00:23 These also have X raised to a power, therefore they are not linear

00:29 This equation meets the conditions for a linear function

00:32 And this is the solution to the question

Note that in answer A there is an exponent, therefore the answer is incorrect.

Note that in answer C, if we multiply X by X we get X to a power, therefore the answer is incorrect.

Note that in answer D there is an exponent, therefore the answer is incorrect.

In answer B the following formula can be observed.

$y=mx+b$

$y=4x+1$