Question

the equation
y = mx + b
represents a ________________ function.

Explanation:

Step1: Recall function types

The equation \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y - intercept) is in the form of a linear function. A linear function has a constant rate of change (the slope \( m \)) and its graph is a straight line. The general form of a linear function is \( f(x)=mx + b \) (which can also be written as \( y=mx + b \)), where \( m\) and \( b\) are real numbers and \( m
eq0\) (if \( m = 0\), it is a constant function, which is a special case of a linear function).

Answer:

linear