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

##### 1 Answer

Mar 24, 2017

#### 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"#