Question

How do you write `y-6=-3(x+2)` in standard form?

Answer 1

`3x+y=0`

Explanation:

The equation of a line in `color(blue)"standard form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))`
where A is a positive integer and B, C are integers.

`"Rearrange " y-6=-3(x+2)" into this form"`

distribute and simplify.

`rArry-6=-3x-6`

add 3x to both sides.

`3x+y-6=cancel(-3x)cancel(+3x)-6`

`rArr3x+y-6=-6`

add 6 to both sides.

`3x+ycancel(-6)cancel(+6)=-6+6`

`rArr3x+y=0larrcolor(red)" in standard form"`