Concept explainers
The slopes of vertical lines and horizontal lines are opposite reciprocals.
Whether the statement “The slopes of vertical lines and horizontal lines are opposite reciprocals.” is always , sometimes , or never true.
Answer to Problem 14P
We know that the vertical and horizontal lines are always perpendicular, but their slopes
are undefined and 0, respectively, which are not negative reciprocals. Therefore, the given statement is never true.
Explanation of Solution
Given information:
The statement is “The slopes of vertical lines and horizontal lines are opposite reciprocals.”
We know that the vertical and horizontal lines are always perpendicular, but their slopes
are undefined and 0, respectively, which are not negative reciprocals.
Conclusion:
Therefore, the given statement is never true.
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