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Math Help - coordinate plane graphing problem

  1. #1
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    coordinate plane graphing problem

    The function values for h(x) vary directly as x for all real numbers. The graph of y = h(x) in the standard (x,y) coordinate plane is:

    a line with a y-intercept at 0.

    How do they get this solution and why can't it be the other possible solutions which are:

    a line with a y-intercept but not at 0
    a line with no y-intercept
    a hyperbola
    neither a line nor a hyperbola
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  2. #2
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    Quote Originally Posted by sarahh View Post
    The function values for h(x) vary directly as x for all real numbers. The graph of y = h(x) in the standard (x,y) coordinate plane is:

    a line with a y-intercept at 0.

    How do they get this solution and why can't it be the other possible solutions which are:

    a line with a y-intercept but not at 0
    a line with no y-intercept
    a hyperbola
    neither a line nor a hyperbola
    h(x) varies directly as x so the equation for h(x) must be
    h(x) = ax
    where a is some constant.

    This is the definition of "varies directly."

    -Dan
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