To find the slope of the line from the graph, we can use the formula for slope between two points on the line:

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

From the graph, the two red points have coordinates approximately at $(-4, 6)$ and $(4, 2)$.

Using these points:

• $(x_1, y_1) = (-4, 6)$
• $(x_2, y_2) = (4, 2)$

Now, applying the formula for slope:

$\text{slope} = \frac{2 - 6}{4 - (-4)} = \frac{-4}{4 + 4} = \frac{-4}{8} = -\frac{1}{2}$

Thus, the slope of the line is $-\frac{1}{2}$.

Let me know if you would like further clarification or details.

Here are five questions related to this topic:

1. How do you determine the slope of a horizontal line?
2. What does a negative slope indicate about the direction of the line?
3. How would the slope change if the two points were swapped?
4. Can the slope of a vertical line be defined? Why or why not?
5. How can you find the slope from the equation of a line in slope-intercept form?

Tip: The greater the absolute value of the slope, the steeper the line!