Step 1 :Given the points \((-4,-3)\) and \((-4,-5)\), we can use the formula for finding the slope:
Step 2 :\(slope = \frac{y2 - y1}{x2 - x1}\)
Step 3 :Plug in the values: \(slope = \frac{-5 - (-3)}{-4 - (-4)}\)
Step 4 :Since the denominator is 0, the slope is undefined.
Step 5 :\(\boxed{\text{The slope is undefined}}\)