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, unle

Question

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.

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RuslanHeatt 4 years 2021-07-31T17:50:21+00:00 1 Answers 24 views 0

Answers ( )

  1. mocmien2
    0
    2021-07-31T17:51:26+00:00
    Reply

    Answer:

    y – 3 = 5/3(x – 6)

    General Formulas and Concepts:

    Algebra I

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

    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:                    m=\frac{3-8}{6-9}
    2. Subtract:                       m=\frac{-5}{-3}
    3. Simplify:                        m=\frac{5}{3}

    Step 3: Write function

    Slope m = 5/3

    Point (6, 3)

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

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