Slope of Vertical Line

Discussion in 'Off-Topic Chat' started by nycmathguy, Jul 31, 2022.

  1. nycmathguy

    nycmathguy

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    Why does the slope of a vertical line not exist? Can you provide a geometric interpretation?
     
    nycmathguy, Jul 31, 2022
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  2. nycmathguy

    MathLover1

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    Vertical lines have an undefined slope because the horizontal change is 0 — you cannot divide a number by 0.

    The slope of a line is a measure of its steepness. Vertical lines have NO SLOPE.

    [​IMG]
     
    MathLover1, Jul 31, 2022
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  3. nycmathguy

    nycmathguy

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    Vertical lines cross the x-axis where y = 0. Can this also be a reason why vertical lines have no slope? I understand the steepness explanation.
     
    nycmathguy, Aug 1, 2022
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  4. nycmathguy

    MathLover1

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    yes
     
    MathLover1, Aug 1, 2022
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  5. nycmathguy

    nycmathguy

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    Interesting.
     
    nycmathguy, Aug 1, 2022
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