What is the slope of the line that passes through the points. \( (-5,8) \) and \( (-5,4) \) \( (3,8) \) and \( (-2,13) \)

**For the points \((-5,8)\) and \((-5,4)\):** 1. The slope \(m\) is calculated using the formula \[ m = \frac{y_2-y_1}{x_2-x_1} \] 2. Substituting the coordinates: \[ m = \frac{4-8}{-5-(-5)} = \frac{-4}{0} \] 3. Since division by zero is undefined, the slope is undefined (the line is vertical). --- **For the points \((3,8)\) and \((-2,13)\):** 1. Again, using the slope formula: \[ m = \frac{y_2-y_1}{x_2-x_1} \] 2. Substituting the coordinates: \[ m = \frac{13-8}{-2-3} = \frac{5}{-5} \] 3. Simplifying gives: \[ m = -1 \] --- The slope for the first set of points is undefined, and the slope for the second set of points is \( -1 \).