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

1. Problem Description

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

2. Solution Steps

First, identify two points on the line. From the graph, we can see the points $(0, 8)$ and $(2, 2)$ are on the line.

The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:

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

Using the points $(0, 8)$ and $(2, 2)$, we can calculate the slope:

$m = \frac{2 - 8}{2 - 0} = \frac{-6}{2} = -3$

The y-intercept is the point where the line crosses the y-axis, which is at $y = 8$.

3. Final Answer

-3