If two lines are perpendicular, what is the product of their slopes?

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Multiple Choice

If two lines are perpendicular, what is the product of their slopes?

Explanation:
When two lines are perpendicular, their slopes are negative reciprocals of each other. That means if one slope is m, the other must be -1/m, and multiplying them gives m × (-1/m) = -1. This holds for finite slopes (neither line vertical). For example, slopes 2 and -1/2 multiply to -1, which corresponds to perpendicular lines. The other numeric options don’t fit this relationship. So the product of the slopes is -1.

When two lines are perpendicular, their slopes are negative reciprocals of each other. That means if one slope is m, the other must be -1/m, and multiplying them gives m × (-1/m) = -1. This holds for finite slopes (neither line vertical). For example, slopes 2 and -1/2 multiply to -1, which corresponds to perpendicular lines. The other numeric options don’t fit this relationship. So the product of the slopes is -1.

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