To find the slope of the line, we can use the formula for the slope:

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

We need to identify two clear points on the line from the graph.

Points on the Line

By inspecting the graph:

• The line passes through the point $(-6, 6)$.
• It also passes through the point $(3, -3)$.

Calculate the Slope

Now using these two points $(-6, 6)$ and $(3, -3)$:

$\text{slope} = \frac{-3 - 6}{3 - (-6)} = \frac{-9}{9} = -1$

It appears that none of the answer choices match the slope of $-1$. Based on the image, it seems there might be an issue with the options provided.

Do you want to go over this calculation, or have any questions?

Here are some related questions:

1. What does a negative slope signify about the direction of a line?
2. How do we interpret slope in terms of "rise" over "run"?
3. How can you identify two points on a line for slope calculation?
4. What would the slope be if the line were horizontal or vertical?
5. What does a slope of 1 or -1 indicate in relation to a 45-degree angle?

Tip: The slope of a line indicates its steepness and direction; a negative slope means the line is decreasing as you move to the right.