Step 1 :The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) can be found using the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Step 2 :In this case, the two points are \((-5,-2)\) and \((3,-9)\). So, we can substitute these values into the formula to find the slope.
Step 3 :\(m = \frac{-9 - (-2)}{3 - (-5)}\)
Step 4 :\(m = -0.875\)
Step 5 :Final Answer: The slope of the line passing through the points \((-5,-2)\) and \((3,-9)\) is \(\boxed{-0.875}\)