The points (7,d) and (3, – 6) fall on a line with a slope of 0. What is the value of d

Question

The points (7,d) and (3,

6) fall on a line with a slope of 0. What is the value of d

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Mít Mít 4 years 2021-08-05T17:32:02+00:00 1 Answers 10 views 0

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    0
    2021-08-05T17:34:01+00:00

    Answer:

    the value of d = -6

    Thus, the second point is:

    • (7, d) = (7, -6)

    Step-by-step explanation:

    Given

    • Point (7, d)
    • Point (3, -6)
    • The slope m = 0

    Here:

    • (x₁, y₁) = (7, d)
    • (x₂, y₂) = (3, -6)
    • m = 0

    Using the formula

    Slope = m =  [y₂ – y₁] /  [x₂ – x₁]

    substitute (x₁, y₁) = (2, 3)

    , (x₂, y₂) = (2, -5)  and m = 0

                 0  =  [-6 – d] / [3 – 7]

                 0 = [-6-d] / [-4]

           0×(-4) = -6-d

                0 = -6-d

                 d = -6

    Therefore, the value of d = -6

    Thus, the second point is:

    • (7, d) = (7, -6)

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