Question

is the function $y = x + \frac{5}{7}$ 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

For the function \( y=x+\frac{5}{7} \), we can identify that \( m = 1 \) (the coefficient of \( x \)) and \( b=\frac{5}{7} \) (the constant term). The exponent of \( x \) is 1, and it is in the form of a linear function \( y = mx + b \).

Answer:

linear