find an equation for the line below.

Explanation:

Step1: Identify two - points

Let's take two points on the line. From the graph, we can take (-4, 1) and (0, - 3).

Step2: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(-4,1)$ and $(0, - 3)$ into the formula, we have $m=\frac{-3 - 1}{0-(-4)}=\frac{-4}{4}=-1$.

Step3: Find the y - intercept

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We know $m=-1$ and we can use the point $(0,-3)$. Substituting $x = 0$, $y=-3$ and $m=-1$ into $y=mx + b$, we get $-3=-1\times0 + b$, so $b=-3$.

Step4: Write the equation of the line

Substituting $m=-1$ and $b = - 3$ into $y=mx + b$, we get $y=-x - 3$.

Answer:

$y=-x - 3$