Find the slope of the line perpendicular to \(y = \dfrac{1}{4}x + 7\).
−4
The given line is already in slope-intercept form \(y = mx + c\):
\(y = \dfrac{1}{4}x + 7 \implies m = \dfrac{1}{4}\)
The slope of any line perpendicular to it is the negative reciprocal:
\(m_{\perp} = -\dfrac{1}{m} = -\dfrac{1}{1/4} = -4\)
Hence the perpendicular slope is −4.
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