Question

is the function $y = x + \frac{4}{3}$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function has the form \( y = mx + b \), where \( m \) (slope) and \( b \) (y - intercept) are constants, and the exponent of \( x \) is 1.

Step2: Analyze the given function

The given function is \( y = x+\frac{4}{3} \). Here, \( m = 1 \) (the coefficient of \( x \)) and \( b=\frac{4}{3} \). The exponent of \( x \) is 1, and it is in the form of a linear function \( y = mx + b \).

Answer:

A. linear