To calculate the slope of the line, we use the slope formula:

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

From the graph, the two points are:

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

Substituting into the formula: $m = \frac{4 - (-2)}{1 - (-1)} = \frac{4 + 2}{1 + 1} = \frac{6}{2} = 3$

Thus, the slope of the line is 3.

Would you like additional details or a breakdown? Here are 5 related questions to explore further:

1. What does a slope of 3 signify in terms of the steepness of the line?
2. How would the slope change if the points were switched (e.g., $(1, 4)$ as the first point)?
3. Can the slope formula be used for vertical lines? Why or why not?
4. How is slope related to the equation of a line in slope-intercept form ($y = mx + b$)?
5. How can you find the y-intercept using the slope and one of the points?

Tip: Always simplify your slope to its most reduced form to ensure clarity.