Find the slope of the line that goes through the given points. \( (9,-3) \) and \( (9,-4) \)

To find the slope of the line that goes through the points \((9, -3)\) and \((9, -4)\), we use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] In this case, we have: - \((x_1, y_1) = (9, -3)\) - \((x_2, y_2) = (9, -4)\) Substituting these values into the slope formula gives: \[ m = \frac{-4 - (-3)}{9 - 9} = \frac{-4 + 3}{0} = \frac{-1}{0} \] Since the denominator is zero, the slope is undefined. This indicates that the line is vertical. Thus, the slope of the line that goes through the points \((9, -3)\) and \((9, -4)\) is **undefined**.