Find the slope, if it exists, of the line containing the points \( (3,-6) \) and \( (3,-8) \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. m= (Type an integer or a simplified fraction.) B. The slope is undefined

When you calculate the slope of a line using the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \), substituting the points \( (3,-6) \) and \( (3,-8) \) gives you \( m = \frac{-8 + 6}{3 - 3} = \frac{-2}{0} \). Since you can’t divide by zero, this situation means that the line is vertical, which indeed has an undefined slope! In the world of geometry, vertical lines are quite fascinating! They represent situations where the x-coordinate remains constant, and the line rises or falls infinitely high or low. No matter how much you move up or down, you're standing squarely at the same x-position. So, picture these vertical lines as the sturdy columns of a building—they go straight up but don’t move sideways at all!