Question

is the function $y = -\frac{5}{4}$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function has the form \( y = mx + b \), where \( m \) is slope and \( b \) is y - intercept, and \( x \) is the independent variable. If \( x \) has an exponent of 1 (or is not present, meaning \( m = 0 \)), it's linear.

Step2: Analyze \( y=-\frac{5}{4}\)

The function \( y = -\frac{5}{4}\) can be rewritten as \( y=0x-\frac{5}{4}\). Here, the slope \( m = 0 \) and the y - intercept \( b=-\frac{5}{4}\). Since it fits the linear function form \( y = mx + b \) (with \( m = 0 \)), it is a linear function (a horizontal line).

Answer:

linear