Question

is the function $y = -\frac{5}{6}x$ 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 given function

The function \( y = -\frac{5}{6}x \) can be written as \( y = -\frac{5}{6}x + 0 \). Here, \( m = -\frac{5}{6} \) and \( b = 0 \), and the exponent of \( x \) is 1. So it fits the linear function form.

Answer:

linear