Respuesta :

Space

Answer:

y + 1 = -1/2(x - 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

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

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

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

Step-by-step explanation:

Step 1: Define

f(8) = -1 → Coordinate (8, -1)

f(6) = 0 → Coordinate (6, 0)

Step 2: Find slope m

  1. Substitute [SF]:                    [tex]m=\frac{0+1}{6-8}[/tex]
  2. Add/Subtract:                      [tex]m=\frac{1}{-2}[/tex]
  3. Simplify:                               [tex]m=\frac{-1}{2}[/tex]

Step 3: Write Function

Substitute into general form.

  • Point 1: y + 1 = -1/2(x - 8)
  • Point 2: y = -1/2(x - 6)
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