Step 1 :We are given two points, (10,1) and (-3,-9).
Step 2 :The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is: \( m = \frac{y_2 - y_1}{x_2 - x_1} \)
Step 3 :Substitute the given points into the formula: \( m = \frac{-9 - 1}{-3 - 10} \)
Step 4 :Simplify the equation to find the slope: \( m = 0.7692307692307693 \)
Step 5 :Final Answer: The slope of the line that passes through the points (10,1) and (-3,-9) is \(\boxed{0.7692307692307693}\)