standard form (that I learned) is ax+by=c where a and b and c are integers and a is positive
4x-1y=8 is already in standard form
there is another 'standard form' in the form
ax+by+c=0
so then it would be
4x-1y-8=0
neither y=mx+b nor y-y1=m(x-x1) is standard form
the advice would be to either put a 1 in front of the y or to minus 8 from both sides, depends on what form you use