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sirserie

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High School - 10th Grade

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Topic: geometry2

Find the slope of the line that is perpendicular to the line that passes through the points (1,3) and (2,6)?

Posted by sirserie on February 26, 2011 at 1:26 AM via web and tagged with geometry2, line, math, perpendicular, slope

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    giorgiana1976

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    We know that 2 line are perpendicular if and only if the product of the values of their slopes is -1.

    We can find the slope of the line that passes through the given points.

    m1 = (y2 - y1)/(x2 - x1)

    m1 = (6-3)/(2-1)

    m1 = 3/1

    m1 = 3

    The product of the slopes is:

    m1*m2 = -1

    -3*m2 = -1

    We'll divide by -3:

    m2 = 1/3

    The slope of the perpendicular line to the line that passes through the points (1,3) and (2,6) is m2 = 1/3.

    Posted by giorgiana1976 on February 26, 2011 at 1:30 AM (Answer #1)

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    justaguide

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    The slope of two perpendicular lines m1 and m2 are related as m1* m2 = -1.

    The slope of the line through (1,3) and ( 2,6) is :

    m = (6 - 3)/(2 - 1)

    => m = 3

    A line...

    (The entire answer is 46 words.)

    This is an expert answer, written by an eNotes educator. To read the entire answer, please join eNotes.

    Posted by justaguide on February 26, 2011 at 1:36 AM (Answer #2)

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