The problem asks us to find the slope and y-intercept of the line shown in the graph, and then write the equation of the line.

1. Problem Description

The problem asks us to find the slope and y-intercept of the line shown in the graph, and then write the equation of the line.

2. Solution Steps

First, let's identify two points on the line. From the graph, we can see that the line passes through the points $(2, 0)$ and $(0, 6)$.

We can calculate the slope $m$ using the formula:

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

Using the points $(2, 0)$ and $(0, 6)$, we have:

$m = \frac{6 - 0}{0 - 2} = \frac{6}{-2} = -3$

The slope of the line is $-3$.

The y-intercept is the point where the line crosses the y-axis. From the graph, we can see that the y-intercept is at $y = 6$. Therefore, the y-intercept $b = 6$.

Now, we can write the equation of the line in the slope-intercept form:

$y = mx + b$

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

$y = -3x + 6$

The slope is $-3$.

3. Final Answer

-3