a linear function passes through the point (1,5)and (7,23)what are the rate of change and initial value?

Question

a linear function passes through the point (1,5)and (7,23)what are the rate of change and initial value?

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Eloise 2 weeks 2021-09-08T18:51:44+00:00 1 Answer 0

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    2021-09-08T18:52:44+00:00

    Answer:

    The rate of change = 3

    Initial value = 2

    Step-by-step explanation:

    The linear function has the form ⇒ y = mx + c

    Where m is the slope or the rate of change, and c is y-intercept.

    Given: A linear function passes through the point (1,5)and (7,23)

    So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3

    So, y = 3x + c

    By substitution with the point (1,5)

    So, at x = 1 , y = 5

    5 = 3*1 + c

    c = 5 – 3 = 2

    ∴ y = 3x + 2

    so, the rate of change = 3

    And initial value = 2

    initial value is the value at which x = 0 which is the y-intercept

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45:7+7-4:2-5:5*4+35:2 =? ( )