Question

is the function $y = \frac{10 - x}{4}$ linear or nonlinear? linear nonlinear submit

Explanation:

Step1: Recall linear function form

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

Step2: Simplify the given function

Simplify \( y=\frac{10 - x}{4} \). Distribute the division by 4: \( y=\frac{10}{4}-\frac{x}{4} \), which can be rewritten as \( y = -\frac{1}{4}x+\frac{5}{2} \).

Step3: Compare with linear form

This matches the linear function form \( y = mx + b \), where \( m = -\frac{1}{4} \) (the slope) and \( b=\frac{5}{2} \) (the y - intercept), and the power of \( x \) is 1.

Answer:

linear