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The slopes are negative reciprocals.
perpendiculars("Opposite" is a pretty arbitrary condition in math. The slopes are negative reciprocals.)and by negative that person means the opposite of what it is already, negative or positive, it's not always negative
They are perpendicular if their slopes are mutual negative reciprocals.
Negative reciprocals of one another.
If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.