Question

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

Answer 1

y = -2x - 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. 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

Explanation:

Step 1: Define

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

Step 2: Rewrite

Rewrite in slope-intercept form

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