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

##### 2 Answers
Mar 10, 2016

$y = - 3 x - 3$

#### Explanation:

Recall that the standard form of the equation of a line is:

color(blue)(|bar(ul(color(white)(a/a)y=mx+bcolor(white)(a/a)|)

where:
$y =$y-coordinate
$m =$slope
$x =$x-coordinate
$b =$y-intercept

Converting to Standard Form
$1$. Start by simplifying the right side of the equation.

$y + 9 = - 3 \left(x - 2\right)$

$y + 9 = - 3 x + 6$

$2$. Subtract $- 9$ from both sides.

$y + 9$ $\textcolor{red}{- 9} = - 3 x + 6$ $\textcolor{red}{- 9}$

$3$. Simplify.

color(green)(|bar(ul(color(white)(a/a)y=-3x-3color(white)(a/a)|)

Mar 10, 2016

$y = - 3 x - 3$

#### Explanation:

Given $y + 9 = - 3 \left(x - 2\right)$ rewrite in standard form which for linear first order is: $y = m x + b$
$y + 9 = - 3 x + 6$ subtract 9 from both sides
$y = - 3 x + 6 - 9 = - 3 x - 3$ this the standard form
$y = - 3 x - 3$