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Answer:
perpendicular: undefined
parallel: zero
Step-by-step explanation:
The line y = -6 is a horizontal line. Between any two points on the line, the difference in y-values is zero, and the difference in x-values is non-zero. The slope of this horizontal line is the ratio of these differences:
slope = 0/(non-zero) = 0
Any parallel line will have the same slope. The slope of a parallel line is 0.
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A line perpendicular to a horizontal line is <em>a vertical line</em>. It will have the equation x = constant. Between any two points on the line, the difference in y-values is non-zero, and the difference in x-values is zero. The slope of this vertical line is the ratio of these differences:
slope = (non-zero)/0 = undefined
The slope of the perpendicular line is <em>undefined</em>.
