14. Determine the slope of the line passing through the points \( (2,-5) \) and \( (8,-5) \).

To determine the slope of the line passing through the points \( (2,-5) \) and \( (8,-5) \), we can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] where \( m \) is the slope, and \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the two points. Let's plug in the values from the given points: \( (x_1, y_1) = (2, -5) \) \( (x_2, y_2) = (8, -5) \) Now, we can calculate the slope: \[ m = \frac{-5 - (-5)}{8 - 2} \] \[ m = \frac{-5 + 5}{8 - 2} \] \[ m = \frac{0}{6} \] \[ m = 0 \] The slope of the line passing through the points \( (2,-5) \) and \( (8,-5) \) is \( 0 \). This indicates that the line is horizontal.