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Math Help - Help with slope of sin graph?

  1. #1
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    Help with slope of sin graph?

    On the graph of f(x)=6sin(4pi*x), points P and X are at consecutive lowest and highest points, with P occurring before Q. Find the slope of the line which passes through P and Q.
    I graphed it, and I had (1.4, -5.706) and (1.6, 5.706) for my points, but that's clearly not correct.
    Any help would be greatly appreciated!
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  2. #2
    MHF Contributor
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    Please figure out how to use exact values. Your calculator will not always be with you. Eventually, you will have to wean yourself off it.

    Your first task is to find a consecutive min and max.

    Since the period is \frac{2*\pi}{4*\pi}\;=\;1/2, we shouldn't have to look very far. Indeed x = 3/8 and x = 5/8 seem most convenient.

    Where does that leave us?
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