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