If a gradient of line b is -3 what is the gradient of the line perpendicular to b

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10-06-2018
Mathematics

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If a gradient of line b is -3 what is the gradient of the line perpendicular to b

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jdoe0001 jdoe0001 · Answer 1 · 2018-06-10T21:15:20+02:00

jdoe0001 jdoe0001

10-06-2018

[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-3\implies -\cfrac{3}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{3}}\implies \cfrac{1}{3}}[/tex]

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