Step 1 :Given two points (4,8) and (4,-9).
Step 2 :The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula \(\frac{y2 - y1}{x2 - x1}\).
Step 3 :Substitute the given points into the formula to get \(\frac{-9 - 8}{4 - 4}\).
Step 4 :The denominator is zero, which means the slope is undefined.
Step 5 :This happens when the line is vertical.
Step 6 :\(\boxed{\text{The slope is undefined. The line is vertical.}}\)