Question

look at this graph: graph of a coordinate plane with a line write the equation of the line.

Explanation:

Step1: Identify the line type

The graph shows a horizontal line, which means the slope \( m = 0 \).

Step2: Determine the y - intercept

A horizontal line has the equation \( y = b \), where \( b \) is the y - intercept. From the graph, the line passes through \( y = 0 \) (since it lies on the x - axis). So \( b = 0 \).

Step3: Write the equation

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

Answer:

\( y = 0 \)