Fill in the blanks below. Find the slope of the line passing through the points \( (-2,7) \) and \( (-2,-1) \), slope: \( \square \) Find the slope of the line passing through the points \( (4,-8) \) and \( (9,-8) \).

Let's calculate the slopes for both sets of points using the slope formula: \[ \text{Slope} = \frac{y_2 - y_1}{x_2 - x_1} \] ### 1. Slope of the line passing through \( (-2, 7) \) and \( (-2, -1) \) \[ \text{Slope} = \frac{-1 - 7}{-2 - (-2)} = \frac{-8}{0} \] Since division by zero is undefined, the slope of this line is **undefined**. This indicates that the line is vertical. \[ \text{Slope: } \boxed{\text{undefined}} \] ### 2. Slope of the line passing through \( (4, -8) \) and \( (9, -8) \) \[ \text{Slope} = \frac{-8 - (-8)}{9 - 4} = \frac{0}{5} = 0 \] A slope of zero means the line is horizontal. \[ \text{Slope: } \boxed{0} \]