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Math Help - simple slope question that I can't make sense of

  1. #1
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    simple slope question that I can't make sense of

    does one go about finding the slope of y=20-4*sqrt(x) when x=4 and y=11

    From what I can tell y should = 12 when x =4

    that aside, when I do the rate of change algebra f(x+h)-f(x)/h

    I get

    [-4(sqrt(x+h)-sqrt(x))]/h

    am I on the wrong track?
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  2. #2
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    Re: simple slope question that I can't make sense of

    Quote Originally Posted by kingsolomonsgrave View Post
    does one go about finding the slope of y=20-4*sqrt(x) when x=4 and y=11
    From what I can tell y should = 12 when x =4
    that aside, when I do the rate of change algebra f(x+h)-f(x)/h
    I get
    [-4(sqrt(x+h)-sqrt(x))]/h
    \frac{{4\sqrt x  - 4\sqrt {x + h} }}{h} = \frac{{4\sqrt x  - 4\sqrt {x + h} }}{h}\left( {\frac{{4\sqrt x  + 4\sqrt {x + h} }}{{4\sqrt x  + 4\sqrt {x + h} }}} \right) = \frac{{ - 16}}{{4\sqrt x  + 4\sqrt {x + h} }}
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