Question

is the function y = \frac{7}{9} 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 \( x \) is the independent variable. If we rewrite \( y=\frac{7}{9}\), we can write it as \( y = 0x+\frac{7}{9}\).

Step2: Identify slope and intercept

In the equation \( y = 0x+\frac{7}{9}\), the slope \( m = 0\) (a constant) and the y - intercept \( b=\frac{7}{9}\) (also a constant). This fits the form of a linear function (a horizontal line, which is a special case of a linear function with slope 0).

Answer:

linear