[tex]\bf Step-by-step~explanation:[/tex]
• -6.75 is a non-repeating number, so it is considered as an integer.
• -6.75 can be written as a fraction, so it is also a rational number.
• -6.75 is a real number, too.
[tex]\large\boxed {\bf Our~final~answers:~Integer,~Rational~number,~real~number}[/tex]