Coupling mechanism and slide rail assembly for furniture part

A slide rail assembly, comprising:

• a first rail;
• a second rail longitudinally displaceable with respect to the first rail;
• and
• a coupling mechanism adjacent to the second rail, wherein the coupling mechanism comprises:
• a coupling base detachably fixed to the second rail;
• a first base detachably engaged to the coupling base and a second base displaceably coupled to the first base;
• a supporting member coupled to the coupling base and including a supporting portion;
• a height adjustment member rotatably coupled to the supporting member for rotation about a first axis to displace and thereby adjust the supporting member with respect to the coupling base in order to change a height of the supporting portion of the supporting member with respect to the second rail through a guiding feature;
• a lateral adjustment member rotatably disposed on the first base for rotation about a second axis transversely oriented relative to the first axis;
• and
• a transmission structure for converting a rotary movement of the lateral adjustment member into a linear displacement of the second base with respect to the first base, wherein the lateral adjustment member is configured for displacing and thereby adjusting the second base with respect to the first base to displace a furniture part coupled thereto in lateral position relative to the second rail.