Question

How do you write `y + 9 = -3(x - 2)` in standard form?

Answer 1

`3x+y+3=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=0)color(white)(2/2)|)))`

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

distribute the bracket.

`y+9=-3x+6`

add 3x to both sides.

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

`rArry+3x+9=6`

subtract 6 from both sides.

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

`rArr3x+y+3=0larrcolor(red)" in standard form"`