Y – 11 = 3(x – 2)
in standard form

3x + y = -5

General Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Algebra I

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

[PS]   y - 11 = 3(x - 2)

Step 2: Rewrite

Find Standard Form

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

He was wrong, the correct answer is this.