3x+6y=18 find the rate of change,initial value, and function rule and show what you did please

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3x+6y=18 find the rate of change,initial value, and function rule and show what you did please

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    2021-09-10T17:57:40+00:00

    The usual interpretation of “rate of change” in this situation is “slope,” which equals m = rise (change in y) over run (change in x).

    Solve 3x + 6y = 18 for y:  Dividing each term by 6 results in:

    y = (-1/2)x + 3

    The “rate of change” is the slope, m, which in turn is -1/2.

    The function rule is y = f(x) = (-1/2)x + 3.

    The initial value is the value of this function when x = 0 and is y(0) = 3.

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