What is the slope of any line perpendicular to the line passing through $(- 9, 35)$ $(-9,35)$ and $(2, 2)$ $(2,2)$ ?

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What is the slope of any line perpendicular to the line passing through $(- 9, 35)$ $(-9,35)$ and $(2, 2)$ $(2,2)$ ?

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Answer 1 · 2018-08-05T20:31:43

$perpendicular slope = \frac{1}{3}$ $"perpendicular slope "=1/3$

Explanation:

$calculate the slope m using the gradient formula$ $"calculate the slope m using the "color(blue)"gradient formula"$

$∙ x m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $•color(white)(x)m=(y_2-y_1)/(x_2-x_1)$

$let (x_{1}, y_{1}) = (- 9, 35) and (x_{2}, y_{2}) = (2, 2)$ $"let "(x_1,y_1)=(-9,35)" and "(x_2,y_2)=(2,2)$

$m = \frac{2 - 35}{2 - (- 9)} = \frac{- 33}{11} = - 3$ $m=(2-35)/(2-(-9))=(-33)/11=-3$

$Given a line with slope m then the slope of a line$ $"Given a line with slope m then the slope of a line"$
$perpendicular to it is$ $"perpendicular to it is"$

$m_{perpendicular} = - \frac{1}{m}$ $m_(color(red)"perpendicular")=-1/m$

$m_{perpendicular} = - \frac{1}{- 3} = \frac{1}{3}$ $m_("perpendicular")=-1/(-3)=1/3$

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What is the slope of any line perpendicular to the line passing through $(- 9, 35)$ $(-9,35)$ and $(2, 2)$ $(2,2)$ ?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

What is the slope of any line perpendicular to the line passing through (−9,35)(-9,35) and (2,2)(2,2)?

1 Answer

Explanation:

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Impact of this question

What is the slope of any line perpendicular to the line passing through $(- 9, 35)$ $(-9,35)$ and $(2, 2)$ $(2,2)$ ?