Question

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

Answer 1

`y=-3x-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(x-2)`

`y+9=-3x+6`

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

`y+9` `color(red)(-9)=-3x+6` `color(red)(-9)`

`3`. Simplify.

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

Answer 2

`y = -3x -3`

Explanation:

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