To find the slope of the line that passes through the points \( (10, 7) \) and \( (3, 1) \), we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Where \( (x_1, y_1) = (10, 7) \) and \( (x_2, y_2) = (3, 1) \).
Now substitute the values into the formula:
\[ m = \frac{1 - 7}{3 - 10} \]
Calculate the differences:
\[ m = \frac{-6}{-7} \]
The negatives cancel out:
\[ m = \frac{6}{7} \]
So, the slope of the line that passes through the points \( (10, 7) \) and \( (3, 1) \) is \( \frac{6}{7} \).