To find the slope (\(m\)) of the line through the points \((-4, -2)\) and \((-2, 2)\), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Where:
- \((x_1, y_1) = (-4, -2)\)
- \((x_2, y_2) = (-2, 2)\)
Plugging in the values:
\[ m = \frac{2 - (-2)}{-2 - (-4)} = \frac{2 + 2}{-2 + 4} = \frac{4}{2} = 2 \]
Thus, the slope of the line through the points \((-4, -2)\) and \((-2, 2)\) is \(2\).