The problem asks 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 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, we need to find two points on the line. From the graph, we can identify two points as $(0, 2)$ and $(4, -4)$.

Next, we can find the slope of the line using the formula:

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

Plugging in the coordinates of the points, we get:

$m = \frac{-4 - 2}{4 - 0} = \frac{-6}{4} = -\frac{3}{2}$

The $y$-intercept is the point where the line crosses the $y$-axis, which is the value of $y$ when $x = 0$. From the graph, we can see that the $y$-intercept is $2$. Thus, $b = 2$.

Now 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 have:

$y = -\frac{3}{2}x + 2$

3. Final Answer

Slope = $-\frac{3}{2}$

$y = -\frac{3}{2}x + 2$