Question

what is the slope intercept equation

Explanation:

Step1: Identify the line type

The graph is a horizontal line, so its slope \( m = 0 \).

Step2: Determine the y - intercept

A horizontal line has the equation \( y = c \), where \( c \) is the y - intercept (the value of \( y \) when \( x = 0 \)). From the graph, the line is at a constant \( y \)-value, say \( y = c \). The slope - intercept form is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. Since \( m = 0 \), the equation becomes \( y=0x + c\) or \( y = c \).

Answer:

\( y = c \) (where \( c \) is the y - coordinate of the horizontal line)