Wesley's monthly Methodist magazine was published as the 'Arminian Magazine' between 1778 and 1797. It was named after the Dutch theologian Jacobus Arminius (or Jakob Harmenszoon, 1560-1609) who, like Wesley, believed in universal redemption, opposing the Calvinist doctrine of salvation only for the few.
This 'Answer' was published in pamphlet format alongside early publications of the Arminian Magazine. Worded like a letter to a friend (a common device at the time to deal with literary criticism, or discuss difficult subjects), Wesley used the 'Answer' to defend the publication against criticism. This included its overall format and also the magazine's lack of images.