To determine the slope of the line illustrated in the graph, we can use the formula:

$\text{slope (m)} = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$

From the graph, two clear points on the line appear to be:

• Point 1: $(-8, 6)$
• Point 2: $(4, -4)$

Using these points:

$\text{slope (m)} = \frac{-4 - 6}{4 - (-8)} = \frac{-10}{12} = -\frac{5}{6} \approx -0.83$

So, the slope of the line is approximately -0.83 when rounded to the nearest hundredth.

Would you like further details or have any questions?

Here are some related questions for further understanding:

1. How do you determine the slope when given two points on a line?
2. Why is the slope negative in this graph?
3. What does the slope tell us about the direction of the line?
4. How can you verify the slope using other points on the line?
5. How would the slope change if the line were steeper or less steep?

Tip: The slope tells you how much $y$ changes for each unit increase in $x$. A negative slope indicates a downward trend from left to right.