# How do you write the equation #y+3=-5(x+1)# in standard form?

##### 2 Answers

#### 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+3=-5(x+1)" into this form"#

#"distribute bracket"#

#y+3=-5x-5#

#"add 5x to both sides"#

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

#"subtract 3 from both sides"#

#5x+ycancel(+3)cancel(-3)=-5-3#

#rArr5x+y=-8larrcolor(red)" in standard form"#

See the solution process below:

#### Explanation:

The standard form of a linear equation is:

Where, if at all possible,

First, expand the terms on the right side of the equation:

Now, add