What is the equation in slope intercept form? y-6 = -2(x+7)
O 8+2x=y
O y = 2x 8.
y=8x-2
y=-3x+2

y = -2x - 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/Coefficients

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept  

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

[Point-Slope Form] y - 6 = -2(x + 7)

Step 2: Rewrite

Rewrite in slope-intercept form

Distribute -2:                                                                                                   y - 6 = -2x - 14[Addition Property of Equality] Add 6 on both sides:                                   y = -2x - 8