The man page for echo says:
-n Do not print the trailing newline character. This may also be
achieved by appending `\c' to the end of the string, as is done by
iBCS2 compatible systems. Note that this option as well as the
effect of `\c' are implementation-defined in IEEE Std 1003.1-2001
(``POSIX.1'') as amended by Cor. 1-2002. Applications aiming for
maximum portability are strongly encouraged to use printf(1) to
suppress the newline character.
However this doesn't seem to work in sh on Mac:
sh-3.2$ echo $0
/bin/sh
sh-3.2$ which echo
/bin/echo
sh-3.2$ echo -n foo
-n foo
It works properly in bash:
bash-3.2$ echo $0
bash
bash-3.2$ which echo
/bin/echo
bash-3.2$ echo -n foo
foobash-3.2
FWIW this only seems to happen on Mac, on Linux it works properly:
$ echo $0
sh
$ echo -n foo
foo$
-n is a bash extension to echo. In version 3.2 (which ships with macOS), bash does not support the extension when invoked as sh. Starting with version 4.0 (some version of which is likely on your Linux box), bash does honor -n when invoked as sh.
Update: the xpg_echo option determines if bash's built-in echo is POSIX-compliant or not. In bash 3.2 (or at least the macOS build of 3.2), this option defaults to on; in bash 4.x, it defaults to off.
% sh -c 'shopt xpg_echo'
xpg_echo on
% ./sh -c 'shopt xpg_echo'
xpg_echo off
(./sh is a symlink to /usr/local/bin/bash, a local installation of bash 4.4 on my machine.)