To find the slope of the line from the graph:

1. Identify two points on the line: From the graph, I can observe two points that lie on the line:

   • Point 1: $(-6, -5)$
   • Point 2: $(-2, 1)$

2. Use the slope formula: The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is calculated as: $m = \frac{y_2 - y_1}{x_2 - x_1}$

3. Substitute the values: $m = \frac{1 - (-5)}{-2 - (-6)} = \frac{1 + 5}{-2 + 6} = \frac{6}{4} = \frac{3}{2}$

Thus, the slope of the line is $\frac{3}{2}$.

Would you like more details or have any questions?

Here are some follow-up questions to explore:

1. How does the slope influence the steepness of a line?
2. What is the significance of a positive slope versus a negative slope?
3. How would you calculate the slope of a horizontal or vertical line?
4. What are some real-world applications of slope in mathematics?
5. How can you determine the equation of a line given the slope and a point?

Tip: The slope of a line represents how much the $y$-value changes for a corresponding change in the $x$-value. A larger slope means a steeper line.