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Unformatted text preview: for which we have no theory we can empirically try different plots until we arrive at a straight line. Some common functions are listed in Table 1 along with plots which yield straight lines. Table 1. Different graphs for different functions. This summarizes some of the most common mathematical relations and the graphing techniques needed to find slopes and intercepts. FORM PLOT (to yield a straight line) SLOPE Y-INTERCEPT y = a x + b y versus x on linear graph paper a b y 2 = c x + d y 2 versus x on linear graph paper c d y = a x m log y versus log x on linear paper or y versus x on log-log paper m * log a a (at x = 1) x y = K y versus (1/x) on linear paper K 0 y = a e bx ln y versus x on linear paper or y (on log scale) versus x on semi-log paper b * ln a a * Special techniques are needed when using logarithmic graph paper. These will be discussed in a later section....
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- Fall '09