Find the slope of the line that passes through the pair of points. \( (3,-3),(3,-4) \) a. undefined b. 0 Please select the best answer from the choices provided A B C D

The slope of a line is calculated by the formula \(\frac{y_2 - y_1}{x_2 - x_1}\). In this case, the points (3, -3) and (3, -4) both have the same x-coordinate of 3, meaning the line is vertical. For vertical lines, the slope is considered undefined because you cannot divide by zero when \(x_2 - x_1 = 0\). So the best answer from the choices provided is A: undefined. Vertical lines are pretty cool! They represent constant x-values, meaning the line goes straight up and down. Imagine standing at the x-coordinate of 3 and never having to move left or right—you'd get to see all sorts of interesting points along that vertical path! When working with slopes, it’s important to remember that horizontal lines have a slope of 0 (since they run left to right) and vertical lines have an undefined slope. A common mistake is thinking that a vertical line has a slope of 0, but if you ever see a pair of points sharing an x-coordinate, you'll know you’ve got a classic case of having an undefined slope!