To find the slope (\(m\)) of a line that passes through two points, you can use the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, the two points are \((-10, -1)\) and \((5, -4)\). Here, \((x_1, y_1) = (-10, -1)\) and \((x_2, y_2) = (5, -4)\).
Now, plug the coordinates into the slope formula:
\[ m = \frac{-4 - (-1)}{5 - (-10)} \]
Now simplify:
\[ m = \frac{-4 + 1}{5 + 10} = \frac{-3}{15} = -\frac{1}{5} \]
So, the slope that passes through the points \((-10, -1)\) and \((5, -4)\) is \(-\frac{1}{5}\).