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

2 Answers
Mar 10, 2016

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)|)

Mar 10, 2016

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