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How do you find the slope of a line perpendicular to a given line with slope $m$?

デッキ「Digital SAT Math: Algebra, Advanced Math & Geometry」の単語カード。

解答

The perpendicular slope is the negative reciprocal: $m_{\perp} = -\frac{1}{m}$ (assuming $m \ne 0$).

解説

The product of the slopes of two perpendicular non-vertical lines is always $m_1 \cdot m_2 = -1$. Horizontal lines ($m = 0$) are perpendicular to vertical lines (undefined slope).

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