To calculate the slope of the line shown in the graph, we can use the formula for slope:

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

where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.

Step 1: Identify two points from the graph.

From the graph:

1. Point 1: $(-80, 80)$
2. Point 2: $(80, -40)$

Step 2: Substitute into the slope formula.

$m = \frac{-40 - 80}{80 - (-80)} = \frac{-40 - 80}{80 + 80}$

$m = \frac{-120}{160}$

$m = -\frac{3}{4}$

Final Answer:

The slope of the line is $-\frac{3}{4}$.

Would you like me to explain the concept of slope further, or do you have any other questions?

Here are five related questions for deeper exploration:

1. How do you interpret the negative slope in this context?
2. Can you write the equation of this line in slope-intercept form?
3. What does the slope tell us about the relationship between $x$ and $y$?
4. How would the slope change if the line were steeper?
5. What are some real-world examples where slope applies?

Tip: Remember, slope measures the rate of change — how much $y$ changes for a unit change in $x$.