Y 1=4/5 (x-3) solve this equation

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