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Math Help - finding the equation that relates to set of two numbers

  1. #1
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    finding the equation that relates to set of two numbers

    can someone help me find the equation that relates to these sets of paired numbers and plz explain the method used

    0 - 2
    1 - 4
    2 - 6
    3 - 8
    4 - 10
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  2. #2
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    Quote Originally Posted by nicotynamide View Post
    can someone help me find the equation that relates to these sets of paired numbers and plz explain the method used

    0 - 2
    1 - 4
    2 - 6
    3 - 8
    4 - 10
    y = 2x + 2.

    (If you plot the points it's obvious there is a linear relationship y = mx + c. When x = 0, y = 2 so c = 2. Then y = mx + 2. And the gradient is easily seen to be m = 2).
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  3. #3
    Senior Member pacman's Avatar
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    since this is a linear equation, use point-slope form of line: y = mx + b

    @(0,2), then

    2 = m(0) + b, then b = 2.

    Next, @ (1,4) and b = 2,

    4 = m(1) + 2,

    m = 4 - 2, then

    m = 2, this your slope which is m.

    Now you know your y-intercept, b which is equal to 2 and slope m, which is equal to 2.

    y = 2x + 2,

    CHECK: @ x = 0, 1, 2, 3, 4, we have

    y = 2(0) + 2 = 0 + 2 = 2,
    y = 2(1) + 2 = 2 + 2 = 4,
    y = 2(2) + 2 = 4 + 2 = 6,
    y = 2(3) + 2 = 6 + 2 = 8,
    y = 2(4) + 2 = 8 + 2 = 10.

    We now confirmed the correctness of our generated equation y = 2x + 2.
    Last edited by pacman; October 7th 2009 at 10:12 PM.
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