Question

answer
original slope:
undefined
perpendicular slope:
undefined
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Explanation:

Step1: Recall slope of vertical line

A vertical line has an undefined slope (since slope $m = \frac{\Delta y}{\Delta x}$ and $\Delta x = 0$ for vertical lines, leading to division by zero).

Step2: Determine slope of perpendicular line

A line perpendicular to a vertical line is a horizontal line. The slope of a horizontal line is $0$ (since $\Delta y = 0$ for horizontal lines, so $m=\frac{0}{\Delta x}=0$).

Answer:

Original Slope: undefined
Perpendicular Slope: 0