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Note that the mere existence of these assumptions do not render the simpler dating methods entirely useless.
In addition, it requires that these measurements be taken from several different objects which all formed at the same time from a common pool of materials.
Since the data points have the same Y-value and a range of X-values, they initially fall on a horizontal line: half-lives will include zero within its range of uncertainty.
(The range of uncertainty varies, and may be as much as an order of magnitude different from the approximate value above.
This will be discussed in more detail in the section on Gill's paper below.
The "generic" method described by Gonick is easier to understand, but it does not handle such necessities as: (1) varying levels of uncertainty in the X- versus Y-measurements of the data; (2) computing an uncertainty in slope and Y-intercept from the data; and (3) testing whether the "fit" of the data to the line is good enough to imply that the isochron yields a valid age.