In the image, we have a line on the coordinate plane. To calculate the slope of the line, we will apply the formula:

$\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

First, we need two points on the line. From the graph, it appears the line passes through points $(-8, 8)$ and $(4, -4)$.

Using these points:

• $(x_1, y_1) = (-8, 8)$
• $(x_2, y_2) = (4, -4)$

Now, we calculate the rise (change in $y$) and run (change in $x$):

$\text{rise} = y_2 - y_1 = -4 - 8 = -12$ $\text{run} = x_2 - x_1 = 4 - (-8) = 4 + 8 = 12$

Thus, the slope of the line is:

$\text{slope} = \frac{-12}{12} = -1$

So, the slope of the line in simplest form is $-1$.

Would you like further details or have any questions?

Here are some related questions:

1. How do you calculate the slope from two points?
2. What does a slope of $-1$ mean in terms of the direction of the line?
3. Can the slope formula be applied to vertical or horizontal lines?
4. How can you find the slope from a graph without exact points?
5. What would the slope be if the line was steeper or flatter?

Tip: When calculating slope, remember that positive slopes rise as you move right, while negative slopes fall.