Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.​

Question

Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.​

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Gabriella 3 months 2022-02-15T12:05:02+00:00 1 Answer 0 views 0

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    2022-02-15T12:06:06+00:00

    Answer:

    k = 5

    Step-by-step explanation:

    The given line is y = 4x – 14.

    The given point is (k, k + 1).

    For this point, x = k and y = k + 1.

    You substitute these equations into the line’s equation to find the value of k.

    (x = k)

    (y = k + 1)

    y = 4x – 14

    (k + 1) = 4(k) – 14

    Solve for k.

    k + 1 = 4k – 14

    Subtract k from both sides.

    1 = 3k – 14

    Add 14 to both sides.

    15 = 3k

    Divide both sides by 3.

    15/3 = k

    Simplify.

    5 = k

    And that’s the answer!

    Please mark as Brainliest! 🙂

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