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Pre Algebra

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What is the function rule when the input is 0,1.2.3 and the output is 5,4,3,2?

  • Pre Algebra - ,

    x: 0 1 2 3
    y: 5 4 3 2
    to get the function, we choose two points. let's just choose the first two points,, that is, point1 (0,5) and point2 (1,4)
    now, we get first the slope. the slope is given by the equation,
    slope = m = (y2 - y1)/(x2 - x1)
    where
    y1 = y-coordinate of point1
    x1 = x-coordinate of point1
    y2 = y-coordinate of point2
    x2 = x-coordinate of point2

    for point1=(0,5) and point2=(1,4)
    y1 = 5 , x1 = 0 , y2 = 4 and x2 = 1
    substituting,
    m = (y2 - y1)/(x2 - x1) = (4-5)/(1-0) = -1/1 = -1
    then we substitute it in the slope-intercept form equation:
    y - y1 = m(x - x1)
    substituting with y1 = 5, x1 = 0 and m = -1,
    y - 5 = -1(x - 0)
    y - 5 = -x
    x + y - 5 = 0
    x + y = 5

    hope this helps~ :)

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