The problem asks us to find the slope and y-intercept of the given line and then write the equation of the line in slope-intercept form.

1. Problem Description

The problem asks us to find the slope and y-intercept of the given line and then write the equation of the line in slope-intercept form.

2. Solution Steps

First, we need to identify two points on the line from the graph. Let's choose the points $(0, -4)$ and $(4, -2)$.

Next, we calculate the slope $m$ using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points $(0, -4)$ and $(4, -2)$, we have:

$m = \frac{-2 - (-4)}{4 - 0} = \frac{-2 + 4}{4} = \frac{2}{4} = \frac{1}{2}$

The slope $m$ is $\frac{1}{2}$.

Now, we need to find the y-intercept. The y-intercept is the point where the line crosses the y-axis. From the graph, we can see that the line crosses the y-axis at the point $(0, -4)$. Therefore, the y-intercept $b$ is $-4$.

Finally, we can write the equation of the line in slope-intercept form, which is $y = mx + b$.

Substituting the values of $m$ and $b$, we get:

$y = \frac{1}{2}x - 4$

3. Final Answer

$y = \frac{1}{2}x - 4$