write the equation of the line shown in the graph.

Explanation:

Step1: Identify the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Determine the slope

The line is horizontal. For a horizontal line, the slope $m = 0$.

Step3: Determine the y - intercept

The line crosses the y - axis at $y=-4$, so $b=-4$.

Step4: Write the equation

Substitute $m = 0$ and $b=-4$ into $y=mx + b$, we get $y=0x-4$, which simplifies to $y=-4$.

Answer:

$y = - 4$