Question

How do you write `y=5-3x` in standard form?

Answer 1

`3x+y-5=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=5-3x" into this form"`

add 3x to both sides.

`y+3x=5cancel(-3x)cancel(+3x)`

`rArry+3x=5`

subtract 5 from both sides.

`y+3x-5=5-5`

`rArry+3x-5=0`

and expressing in standard form.

`3x+y-5=0larrcolor(red)" in standard form"`