To find the slope of the line that passes through the points \((-5, 4)\) and \((2, 1)\), you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
where \((x_1, y_1) = (-5, 4)\) and \((x_2, y_2) = (2, 1)\).
Substituting the values into the formula:
\[ m = \frac{1 - 4}{2 - (-5)} = \frac{1 - 4}{2 + 5} = \frac{-3}{7} \]
So, the slope of the line is \(-\frac{3}{7}\).