Respuesta :

Space

Answer:

y - 3 = -1/2(x + 2)

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

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

Point (-2, 3)

Point (6, -1)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{-1-3}{6+2}[/tex]
  2. Subtract/Add:               [tex]m=\frac{-4}{8}[/tex]
  3. Simplify:                        [tex]m=\frac{-1}{2}[/tex]

Step 3: Write linear equation

Point-Slope Form:   y - 3 = -1/2(x + 2)

Answer:

y = -(1/2)x+2

Step-by-step explanation:

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