y+1=4/5(x-3)
you want me to convert to standard form or slope-intercept
ax+by=c or y=mx+b
so
standard
y+1=4/5(x-3)
first distribute 4/5
y+1=4/5x-12/5
minus 1 or 5/5 from both sides
y=4/5x-17/5
standard form
y=4/5x-17/5
minus 4/5x from both sides
-4/5x+y=-17/5
we like whole, positivve numbers
times both sides by -5
4x-5y=17
it is
y=4/5x-17/5 or
4x-5y=17