Question

How to convert slope intercept `y = -1/3x + 4` into standard form?

Answer 1

Assuming by "standard form" you mean in the form
`ax + by = c` for some constants `a, b, c`

then `y=-1/3x+4`
is equivalent to
`1/3 x + y = 4`
or, if you want to avoid fractions
`x +3y=12`