Step 1 :Determine the slope of the line that passes through the given points: (8,-7) and (16,-13).
Step 2 :The slope of a line passing through two points (x_1, y_1) and (x_2, y_2) can be calculated using the formula: \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
Step 3 :Substitute the given points into the formula to find the slope of the line: \(m = \frac{-13 - (-7)}{16 - 8}\).
Step 4 :Simplify the expression to find the slope: \(m = -0.75\).
Step 5 :Final Answer: The slope of the line that passes through the points (8,-7) and (16,-13) is \(\boxed{-0.75}\).