Question

What is `y= 2x+6` written using the standard form of the equation of a line?

Answer 1

Standard form: `2x-y = -6`

Explanation:

"Standard form" of a linear equation is
`color(white)("XXXX")` `Ax+By=C`
`color(white)("XXXX")` `color(white)("XXXX")`with integer constant values for `A, B, and C` and `A>=0`

`y = 2x+6` can be converted into this form
subtract `2x` from both sides
`color(white)("XXXX")` `-2x+y = 6`
multiply both sides by `(-1)`
`color(white)("XXXX")` `2x-y = -6`

(technically you might want to write this as `2x - 1y = -6` but the default `1` is commonly omitted).