Question

How do you write `y= - 3/4x + 5/4` in standard form?

Answer 1

`3x+4y = 5`

Explanation:

Standard form for a linear equation is
`color(white)("XXXX")` `Ax+By=C` where `A, B, C epsilon ZZ` and `A>=0`

Multiplying `y = -3/4x+5/4` by `4` gives

`color(white)("XXXX")` `4y = -3x + 5`

Adding `3x` to both sides gives
`color(white)("XXXX")` `3x + 4y = 5`
`color(white)("XXXX")` `color(white)("XXXX")`which is standard form