Question

Y – 11 = 3(x – 2)
in standard form

Answer 1

3x + y = -5

General Formulas and Concepts:

Pre-Algebra

• Distributive Property
• Equality Properties

Algebra I

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)

• x₁ - x coordinate
• y₁ - y coordinate
• m - slope

Explanation:

Step 1: Define

[PS] y - 11 = 3(x - 2)

Step 2: Rewrite

Find Standard Form

1. Distribute 3: y - 11 = 3x - 6
2. Subtract 3x on both sides: -3x - y - 11 = -6
3. Add 11 to both sides: -3x - y = 5
4. Factor -1: -1(3x + y) = 5
5. Divide -1 on both sides: 3x + y = -5