To find the slope of the line shown on the graph, let's follow these steps:

1. Identify two clear points on the line. By examining the graph, we can see two points where the line intersects the grid:

   • Point 1: $(-8, -6)$
   • Point 2: $(4, 4)$

2. Apply the slope formula: The slope $m$ is calculated using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.

3. Substitute the values: $m = \frac{4 - (-6)}{4 - (-8)} = \frac{4 + 6}{4 + 8} = \frac{10}{12}$

4. Simplify the fraction: $m = \frac{10}{12} = \frac{5}{6}$

So, the slope of the line is $\frac{5}{6}$.

Would you like further details on any part of this process?

Here are some related questions to deepen your understanding:

1. How do you find the slope if the points are closer together?
2. What does a positive slope signify about the direction of the line?
3. How would the slope change if the line were steeper?
4. How can we determine the y-intercept of this line?
5. Can the slope be a negative value, and what does that indicate?

Tip: Remember that slope describes the "rise over run," or how much the line goes up (or down) for each unit it goes to the right.