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sineoko [7]
3 years ago
14

3(4 - 2x) + 3x 12 + 3x 12 + 6x 12 - 3x 12 - 9x

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0
3(4 - 2x) + 3x 12 + 3x 12 + 6x 12 - 3x 12 - 9x
12 - 6x + 3 • 12 + 3 • 12 + 6 • 12 - 3 • 12 - 9x
12 - 6x + 36 + 36 + 72 - 26 - 9x
-9x - 6x + 12 + 36 + 36 + 72 - 26
-15x + 156 - 26
-15x + 130
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Answer:

y = -2/7x - 22/7

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

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Step-by-step explanation:

<u>Step 1: Define</u>

Point (-4, -2)

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<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-4+2}{3+4}
  2. Add:                              m=\frac{-2}{7}

<u>Step 3: Find y-intercept </u><em><u>b</u></em>

  1. Define:                    y = -2/7x + b
  2. Substitute:              -4 = -2/7(3) + b
  3. Multiply:                  -4 = -6/7 + b
  4. Isolate <em>b</em>:                 -22/7 = b
  5. Rewrite:                   b = -22/7

<u>Step 4: Write linear equation</u>

y = -2/7x - 22/7

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