# Question #48fac

##### 1 Answer

Mar 20, 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 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"#