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Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{16-14}{-1+3}[/tex]
  2. Subtract/Add:               [tex]m=\frac{12}{2}[/tex]
  3. Divide:                           [tex]m=6[/tex]

Step 3: Find y-intercept b

  1. Define:                    y = 6x + b
  2. Substitute:              16 = 6(-1) + b
  3. Multiply:                  16 = -6 + b
  4. Isolate b:                 22 = b
  5. Rewrite:                   b = 22

Step 4: Write linear equation

y = 6x + 22

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