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algol [13]
2 years ago
9

Y – 11 = 3(x – 2) in standard form

Mathematics
1 answer:
emmainna [20.7K]2 years ago
4 0

Answer:

3x + y = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property
  • Equality Properties

<u>Algebra I</u>

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:

<u>Step 1: Define</u>

[PS]   y - 11 = 3(x - 2)

<u>Step 2: Rewrite</u>

<em>Find Standard Form</em>

  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
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