The slope of a line passing through two points can be calculated using the formula:
\[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
Given the points (-2, -1) and (4, 3), we can label them as (x1, y1) and (x2, y2) respectively:
\[ x_1 = -2, \quad y_1 = -1 \]
\[ x_2 = 4, \quad y_2 = 3 \]
Substitute these values into the formula:
\[ \text{Slope} = \frac{3 - (-1)}{4 - (-2)} \]
\[ \text{Slope} = \frac{4}{6} \]
\[ \text{Slope} = \frac{2}{3} \]
Therefore, the slope of the line passing through the points (-2, -1) and (4, 3) is \( \frac{2}{3} \).
