What is the slope of the line that passes through the points \( (-9,-2) \) and \( (-9,-6) \) ? Write your answer in simplest form. Answer Attempt 1 out of 3 undefined

To find the slope of the line that passes through the points \( (-9,-2) \) and \( (-9,-6) \), we can use the formula for the slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, we have: - \( (x_1, y_1) = (-9, -2) \) - \( (x_2, y_2) = (-9, -6) \) Now, substituting the values into the slope formula: \[ m = \frac{-6 - (-2)}{-9 - (-9)} \] Calculating the numerator: \[ -6 - (-2) = -6 + 2 = -4 \] Calculating the denominator: \[ -9 - (-9) = -9 + 9 = 0 \] Now we have: \[ m = \frac{-4}{0} \] Since division by zero is undefined, the slope of the line that passes through the points \( (-9,-2) \) and \( (-9,-6) \) is indeed **undefined**. This indicates that the line is vertical.