At the end of each one of your lines, you use 10 (line feed) and 13 (carraige return).
Skip the line feed, and your 'cursor' will return to the left edge without the line feed.
Code:
   FOR memread = 1 TO 50
        pulsin PORTA.0,1,xpulse
        pulsin PORTA.1,1,ypulse
        serout PORTC.6,N2400,[2,0,11]    'code to determine stating point on display
        serout PORTC.6,N2400,["-----------------",13]
        serout PORTC.6,N2400,["X Pulse = ",#xpulse,13]
        serout PORTC.6,N2400,["Y Pulse = ",#ypulse,13]
        PAUSE 250
    NEXT memread       
        Goto loop	' Do it forever