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Write the equation of the line that passes through the points (9,8) and (6,3). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Respuesta :

Space

Answer:

y - 3 = 5/3(x - 6)

General Formulas and Concepts:

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 (9, 8)

Point (6, 3)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{3-8}{6-9}[/tex]
  2. Subtract:                       [tex]m=\frac{-5}{-3}[/tex]
  3. Simplify:                        [tex]m=\frac{5}{3}[/tex]

Step 3: Write function

Slope m = 5/3

Point (6, 3)

  1. Substitute:                    y - 3 = 5/3(x - 6)

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