Step 1 :Given the points $(-3,10)$ and $(7,8)$, we are asked to find the slope.
Step 2 :The slope of a line given 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: \[m = \frac{8 - 10}{7 - (-3)}\]
Step 4 :Simplify the expression to find the slope: \[m = -0.2\]
Step 5 :Final Answer: The slope of the line that passes through the points $(-3,10)$ and $(7,8)$ is \(\boxed{-0.2}\)