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Line A is perpendicular to the line with the equation

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Line A is perpendicular to the line with the equation [#permalink] New post 17 May 2018, 09:40
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81% (00:52) correct 18% (01:06) wrong based on 11 sessions
Line A is perpendicular to the line with the equation \(y= - \frac{1}{5}x\) and the point (3, -10) is on line A. Which of the following is the equation of line A?

A. \(y=- \frac{1}{5} x - \frac{47}{5}\)

B. \(y = \frac{1}{5} x -\frac{53}{5}\)

C. \(y = 5x\)

D. \(y=5x - 5\)

E. \(y=5x - 25\)
[Reveal] Spoiler: OA

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Re: Line A is perpendicular to the line with the equation [#permalink] New post 03 Aug 2018, 21:25
Carcass wrote:
Line A is perpendicular to the line with the equation \(y= - \frac{1}{5}x\) and the point (3, -10) is on line A. Which of the following is the equation of line A?

A. \(y=- \frac{1}{5} x - \frac{47}{5}\)

B. \(y = \frac{1}{5} x -\frac{53}{5}\)

C. \(y = 5x\)

D. \(y=5x - 5\)

E. \(y=5x - 25\)


since line A is perpendicular to the line \(y= - \frac{1}{5}x\),

so slope for line A = 5 (Since the slope of a line perpendicular to a given line is the negative inverse of the slope of the other line)

Now two points of the line a are given as (3 , -10)

Putting them in the line equation

y = mx + c

or -10 = 5 * 3 + c

or c = -25

therefore the equation of line A : y = 5x - 25
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Re: Line A is perpendicular to the line with the equation   [#permalink] 03 Aug 2018, 21:25
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