A slur is a symbol in Western musical notation indicating that the notes it embraces are to be played without separation (that is, with legato articulation).
Prime functions of the slur in keyboard music...are to delineate the extent of a phrase line and to indicate the legato performance of melodies or arpeggiated chords.
[1]Both accents and slurs relate directly to woodwind articulation...(and brass as well) since they employ a variety of tonguing effects [which are indicated by use of, "the correct form," of accents and slurs].
[2][With bowed string instruments] A curved slur over or under two or more notes indicates that these notes are to be connected...Slurs are only partially indicative of phrasing; if an actual phrase mark is necessary (to unite several bow-strokes into a larger melodic idea), it should be notated above the passage with broken lines.
In extreme cases, composers are known to write slurs which are near-impossible to achieve; in that case the composer wishes to emphasise that the notes should be performed with as much legato as possible.