Question

Question #48fac

Answer 1

`3x+y=-3`

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 A, B are integers.

`"Rearrange " y+9=-3(x-2)" into this form"`

`rArry+9=-3x+6larr" distribute bracket"`

add 3x to both sides.

`3x+y+9=cancel(-3x)cancel(+3x)+6`

`rArr3x+y+9=6`

subtract 9 from both sides.

`3x+ycancel(+9)cancel(-9)=6-9`

`rArr3x+y=-3larrcolor(red)" in standard form"`