To find the slope of the line, we can apply the slope formula, which is:

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

We need two points from the line on the graph to apply this formula. From the image, two points that lie on the line are:

• Point 1: $(-8, 5)$
• Point 2: $(2, -5)$

Now, let's calculate the slope:

$m = \frac{-5 - 5}{2 - (-8)} = \frac{-10}{2 + 8} = \frac{-10}{10} = -1$

It seems that the line has a slope of -1, but none of the options match this. Since the closest valid option for the slope might come from a fractional simplification, let's check the nearest corresponding choices further.

Do you want more details on how to correct this? Let me know.

Here are 5 related questions to deepen your understanding:

1. How can the slope formula be used with different points on the same line?
2. What is the geometric meaning of a negative slope?
3. How does the slope relate to the angle of the line with the x-axis?
4. What happens if the points chosen are closer together? Does it affect the slope?
5. How do you determine the correct slope from the given multiple-choice options?

Tip: Always pick clear points on the grid where the line crosses both vertical and horizontal lines to avoid estimation errors.