Mathematics: What is an equation of the line that is perpendicular to y=3x−9 and that passes through the point (3, 1) ?

What is an equation of the line that is perpendicular

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tdahna0403

11.03.2022

$Let\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\\\\\text{We have}\ k:y=3x-9\to m_1=3\\\\l:y=mx+b\to3m=-1\qquad|:3\\\\m=-\dfrac{1}{3}\\\\l:y=-\dfrac{1}{3}x+b\\\\\text{Put the coordinates of the point (3, 1) to the equation of the line}\ l:\\\\1=-\dfrac{1}{3}(3)+b\\\\1=-1+b\qquad|+1\\\\b=2\\\\\ y=-\dfrac{1}{3}x+2$

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Ответ:

muhammadcorley123456

07.07.2020

Mathematics

-18 i know your in 7th grade just did question yesterday

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What is an equation of the line that is perpendicular to y=3x−9 and that passes through the point (3, 1) ?

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