1. The problem asks to find the slope of the given line and the slope of a line perpendicular to it. 2. The given line is vertical, passing through $x=6$. A vertical line has an undefined slope because the change in $x$ is zero, which makes the slope formula $\frac{\Delta y}{\Delta x}$ undefined. 3. Therefore, the original slope is undefined. 4. The slope of a line perpendicular to a vertical line is a horizontal line, which has a slope of 0. 5. So, the perpendicular slope is 0. Final answer: - Original slope: undefined - Perpendicular slope: 0