To find the slope of the line displayed in the graph, we can use two points on the line and apply the slope formula:

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

From the graph, two points on the line are:

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

Substitute these values into the slope formula:

$m = \frac{5 - (-5)}{6 - (-6)} = \frac{5 + 5}{6 + 6} = \frac{10}{12} = \frac{5}{6}$

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

Would you like more details or have any questions?

Here are five related questions to expand your understanding:

1. What does the slope of $\frac{5}{6}$ signify in terms of the steepness of the line?
2. How would the graph change if the slope were negative?
3. What would the slope be if the line were horizontal or vertical?
4. How can you find the y-intercept using the slope and a point on the line?
5. How does changing the slope affect the angle of the line with the x-axis?

Tip: In any linear equation, the slope represents the rate of change, indicating how much the $y$-value changes for each unit increase in the $x$-value.