To find the slope of the line that passes through the points (5, 10) and (-5, -10), you can use the slope formula:
\[ \text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1} \]
Let \( (x_1, y_1) = (5, 10) \) and \( (x_2, y_2) = (-5, -10) \). Plugging in these values:
\[ m = \frac{-10 - 10}{-5 - 5} \]
\[ m = \frac{-20}{-10} \]
\[ m = 2 \]
So, the slope of the line is 2. The correct answer is:
C. 2