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Math Help - Infinite gradient

  1. #1
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    Infinite gradient

    Hi
    Can anyone explain the following statement:
    When the tangent is parallel to the y-axis it has infinite gradient
    Would this be the same condition for a tangent parallel to the x axis? I came across it in the Edexcel C4 textbook.
    Cheers
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by gbenguse78 View Post
    Hi
    Can anyone explain the following statement:
    When the tangent is parallel to the y-axis it has infinite gradient
    Would this be the same condition for a tangent parallel to the x axis? I came across it in the Edexcel C4 textbook.
    Cheers
    no, if a line is parallel to the x-axis, it has slope 0.

    remember, you can think of slope as rise over run (change in y over change in x). In the vertical case, the change in x is 0. since you cannot divide by zero, the slope is undefined, or you can think of the line having an infinitely large rise over an infinitesimally small run. make sense?
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