Question

is the function $y = \frac{9 - x}{2}$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

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

Step2: Simplify the given function

Given \( y=\frac{9 - x}{2} \), we can distribute the division by 2: \( y=\frac{9}{2}-\frac{1}{2}x \), or rearranged as \( y = -\frac{1}{2}x+\frac{9}{2} \). Here, \( m = -\frac{1}{2} \) and \( b=\frac{9}{2} \), and the power of \( x \) is 1.

Answer:

linear