To solve the problem, we need to determine the slope of the given line by calculating the "rise" and "run."

Step-by-step Explanation:

1. Identify two points on the line:

   • From the graph, the line passes through two points:
     • Point 1: $(-10, -10)$
     • Point 2: $(-8, -7)$

2. Calculate the "rise" (change in $y$-coordinates): $\text{Rise} = y_2 - y_1 = -7 - (-10) = -7 + 10 = 3$

3. Calculate the "run" (change in $x$-coordinates): $\text{Run} = x_2 - x_1 = -8 - (-10) = -8 + 10 = 2$

4. Find the slope of the line using the formula: $\text{Slope} = \frac{\text{Rise}}{\text{Run}} = \frac{3}{2}$

Final Answer:

The slope of the line is: $\boxed{\frac{3}{2}}$

Would you like a deeper explanation, such as visualizing rise and run directly on the graph or learning how to draw these lines?

Relative Questions:

1. What is the formula for slope and how is it used in different contexts?
2. How can the slope formula be applied to vertical or horizontal lines?
3. What does the sign of the slope indicate about the direction of the line?
4. How do you find the slope if given only the equation of a line?
5. How is slope related to rate of change in real-world problems?

Tip:

Always simplify the slope to its lowest terms to ensure clarity and correctness.