Line \( s \) passes through points \( (10,9) \) and \( (3,1) \). Line \( t \) is parallel to line \( s \). What is the slope of line \( t \) ? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Let's find the slope of line \( s \) that passes through the points \( (10,9) \) and \( (3,1) \), and then determine the slope of line \( t \), which is parallel to line \( s \). 1. **Find the slope of line \( s \):** The slope \( m \) of a line passing through two points \( (x_1,y_1) \) and \( (x_2,y_2) \) is given by the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] For the points \( (10,9) \) and \( (3,1) \): \[ m = \frac{1 - 9}{3 - 10} = \frac{-8}{-7} = \frac{8}{7} \] 2. **Determine the slope of line \( t \):** Since line \( t \) is parallel to line \( s \), they will have the same slope. Therefore, the slope of line \( t \) is also: \[ \frac{8}{7} \] **Final Answer:** The slope of line \( t \) is \( \frac{8}{7} \).