Question

look at this graph: write the equation of the line.

Explanation:

Step1: Identify the line type

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

Step2: Find the y - intercept

A horizontal line has the equation \( y = b \), where \( b \) is the y - intercept. From the graph, the line passes through \( y=-5 \) (since it's a horizontal line at \( y = - 5\)).

Step3: Write the equation

Using the slope - intercept form \( y=mx + b \), with \( m = 0 \) and \( b=-5 \), we get \( y=0x-5 \), which simplifies to \( y=-5 \).

Answer:

\( y = - 5 \)