Math

On the graph of f(x)=2sin(6πx), points P and Q are at consecutive lowest and highest points with P occuring before Q. Find the slope of the line which passes through P and Q.

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  1. for P
    sin T is -1 when T = (3/4)(2pi)
    = 3 pi /2

    for Q
    sin T then becomes +1 when
    sin T = 2 pi + pi/2 = 5 pi/2
    ------------------------
    now x for P
    6 pi x = 3 pi/2
    x = 1/4 and y is -2

    now x for Q
    6 pi x = 5 pi/2
    x = (5/12) and y is +2

    slope = 4/(5/12 - 1/4)

    = 4 / (5/12 - 3/12)

    = 4 / (1/6)

    = 24

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    posted by Damon

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