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# How do I find a standard equation of a perpendicular line with just the points (5,1)?

anya4one | Student, Undergraduate | Honors

Posted June 1, 2013 at 1:19 PM via web

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How do I find a standard equation of a perpendicular line with just the points (5,1)?

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 1, 2013 at 2:32 PM (Answer #1)

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It is not possible to find the equation of a perpendicular line given just one point. There are an infinite number of lines that pass through any given point. To uniquely define a line it is essential to have two points that lie on the line. And unless a unique line and a unique point on the line are known it is not possible to determine the equation of a perpendicular line.

Given just a point (5, 1) it is not possible to determine the equation of a perpendicular line.

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anya4one | Student , Undergraduate | Honors

Posted June 1, 2013 at 2:33 PM (Reply #1)

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Thank you.  I thought so too, just wanted to confirm.

aruv | High School Teacher | Valedictorian

Posted June 3, 2013 at 11:08 AM (Answer #2)

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Through given point (5,1) ,an infinite number of lines can be drawn so consequently an infinite number of perpendicular lines too can be found.

If we assume a general equation

y=mx+c  ,which posses through (5,1)

then a perpendicular line ,perpendicular to it will be

y-1=(-1/m)(x-5)       .

so find unique line  we  two given conditions.

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