Question

write the equation of the line.
y = 1/3x - 1
y = - 3x - 3
y = - 1x - 3
y = - 3x - 1

Explanation:

Step1: Recall slope - intercept form

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

Step2: Determine slope and y - intercept visually (assuming we can analyze the graph)

If we can see the graph, we look at the rise over run for slope and where the line crosses the y - axis for the y - intercept. Without the actual graph details, we can't calculate exactly, but we can check the general form.
Let's assume we know that if the line has a negative slope and y - intercept of - 3.
For the equation $y=-3x - 3$, the slope $m=-3$ and the y - intercept $b = - 3$.

Answer:

$y=-3x - 3$