Question

is the function $y = -\frac{4}{9} - 8x$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function is in 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 given function is \( y = -\frac{4}{9}-8x \). We can rewrite it as \( y=-8x-\frac{4}{9} \). Here, \( m = - 8 \) (a constant) and \( b=-\frac{4}{9} \) (a constant), and the exponent of \( x \) is 1. So it fits the form of a linear function.

Answer:

linear