Question

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

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 B, C are integers"`

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

`rArry+9=-3x+6`

`"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"`