From the C Standard (5.1.1.2 Translation phases)
- Each instance of a backslash character () immediately followed by a new-line character is deleted, splicing physical source lines to
  form logical source lines. Only the last backslash on any physical
  source line shall be eligible for being part of such a splice. A
  source file that is not empty shall end in a new-line character, which
  shall not be immediately preceded by a backslash character before any
  such splicing takes place.
For example these physical lines
i\
n\
t\
 x;
form the logical line
int x;
Here is a demonstrative program.
#include <stdio.h>
int main(void) 
{
    i\
n\
t\
 x = 10;
    p\
r\
i\
n\
t\
f
    ( "%d\n", 
    x );
    return 0;
}
Its output is
10
This technique is used for writing macros like for example #define.