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Lucy Slater used Bailey's $_6\psi_6$ summation formula to derive the Baileypairs she used to construct her famous list of 130 identities of theRogers-Ramanujan type. In the present paper we apply the same techniques toChu's $_{10}\psi_{10}$ generalization of Bailey's formula to produce quitegeneral Bailey pairs. Slater's Bailey pairs are then recovered as speciallimiting cases of these more general pairs. In re-examining Slater's work, wefind that her Bailey pairs are, for the most part, special cases of moregeneral Bailey pairs containing one or more free parameters. Further, we alsofind new general Bailey pairs (containing one or more free parameters) whichare also implied by the $_6\psi_6$ summation formula. Slater used the Jacobitriple product identity (sometimes coupled with the quintuple product identity)to derive her infinite products. Here we also use other summation formulae(including special cases of the $_6\psi_6$ summation formula and Jackson's$_6\phi_5$ summation formula) to derive some of our infinite products. We usethe new Bailey pairs, and/or the summation methods mentioned above, to give newproofs of some general series-product identities due to Ramanujan, Andrews andothers. We also derive a new general series-product identity, one which may beregarded as a partner to one of the Ramanujan identities. We also find newtransformation formulae between basic hypergeometric series, new identities ofRogers-Ramanujan type, and new false theta series identities. Some of theselatter are a kind of "hybrid" in that one side of the identity consists a basichypergeometric series, while the other side is formed from a theta productmultiplied by a false theta series. This type of identity appears to be new.

Some implications of Chu's $_{10}\psi_{10}$ extension of Bailey's $_{6}\psi_{6}$ summation formula