Algebra teachers taught us the negative reciprocal for the slope of a perpendicular line, but why?

Описание к видео Algebra teachers taught us the negative reciprocal for the slope of a perpendicular line, but why?

If we have a line with the equation y=mx+b, any line perpendicular to the given line will have the negative reciprocal for its slope, but why is this the case? We learned this in algebra but what is the reason behind it?

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