Algebra

I need help finding a function rule.

X Y

-4 -3

-2 0

0 3

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  1. So your function rule would be as follows:

    (-4,-3), (-2,0), (0,3)

    Now use the formula to get the slope

    m = (y2-y1)/(x2-x1)

    (-4,-3) and (-2,0)

    m = (0-(-3))/(-2-(-4))
    m= 3/2
    m=1.5

    so this gives you
    y = 1.5x +b

    y= 1.5
    x = 1

    1.5 = 1.5 (1) = b
    1.5 = 1.5 +b
    b = 0

    so your function is

    f(x) 1.5x

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  2. All I need is a function rule. For example, y= 1/2x + -1

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  3. Each increase in x by +2 causes y to increase by +3. Therefore the function is a straight line of the form
    y = mx = b and the slope is m = 1.5. Yopu still need to determine the constant term, b.
    Use any point such as (x=0, y=3) to get b.
    3 = 1.5*0 + b
    b = 3
    y = 1.5 x + 3

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