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Math Help - Need help to look at slope change intuitively and mathematically

  1. #1
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    Need help to look at slope change intuitively and mathematically

    Let's assume that you have a slope, y/x , where y is greater than x.

    Now let's assume that you add the same number to both x and y to give you a new slope: you have (y+a)/(x+a)

    This new slope will be smaller than the original one. How can you prove this?


    Any help would be greatly appreciated
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  2. #2
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    Re: Need help to look at slope change intuitively and mathematically

    Need help to look at slope change intuitively and mathematically-10-oct-13-2.png
    Thanks from mathbeginner97
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  3. #3
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    Re: Need help to look at slope change intuitively and mathematically

    Quote Originally Posted by mathbeginner97 View Post
    Let's assume that you have a slope, y/x , where y is greater than x.

    Now let's assume that you add the same number to both x and y to give you a new slope: you have (y+a)/(x+a)

    This new slope will be smaller than the original one. How can you prove this?


    Any help would be greatly appreciated

    Start with this
    Chose a >> y
    Than, with fixed y and x, you will have k(a) = (y+A)/(x+A), Continue from there
    Thanks from mathbeginner97
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