To find the slope of the line that passes through the points \((-4, 3)\) and \((3, 1)\), you can use the slope formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \( (x_1, y_1) = (-4, 3) \) and \( (x_2, y_2) = (3, 1) \).
Plugging in the values:
\[ m = \frac{1 - 3}{3 - (-4)} = \frac{1 - 3}{3 + 4} = \frac{-2}{7} \]
Therefore, the slope of the line is \(-\frac{2}{7}\).
So the correct answer from your options is \(-\frac{2}{7}\).