Great post. I thought I would post a few visual aids from the TalkOrigins page. The plots really help me understand what is going on.
Here is a representative isochron plot for Rb/Sr
A generalized plot showing the slope of the lines for the zero age and older age:
Using these variables:
P = Rb-87; D = Sr-87; Di = Sr-86.
The X-axis (horizontal) is the ratio of (Rb-87 / Sr-86); ie, P / Di, ratio of parent and the NON-radiogenic isotope
The Y-axis (vertical) is the ratio of (Sr-87 / Sr-86); ie, D / Di, ratio of the radiogenic and NON-radiogenic isotopes
Three samples are plotted on the graph
We then have a few representative graphs for situations where you don't get a straight line for an isochron.
Isochron Dating
Long story short, if something goes wrong with the isotopes in the rock then it shows up in the isochron plot.