Find the slope between the following points: \( (-6,6) \), and \( (-6,-1) \)

When calculating the slope between two points, you use the formula: \( m = \frac{(y_2 - y_1)}{(x_2 - x_1)} \). In this case, your points are \( (-6, 6) \) and \( (-6, -1) \). Plugging in the values, you get \( m = \frac{(-1 - 6)}{(-6 - -6)} = \frac{-7}{0} \). Since division by zero is undefined, this means the slope is undefined. This happens when the x-coordinates are the same—indicating a vertical line! Vertical lines are unique in their behavior. They maintain a constant x-value regardless of the y-values. This makes them useful in various real-world scenarios where consistent positioning is essential, such as in architectural designs or when plotting a path that rises or falls at a constant angle. Understanding this concept can help avoid misinterpretations when analyzing slopes in graphs!