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Math Help - writing the equation of a line...woohoo!

  1. #1
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    Exclamation writing the equation of a line...woohoo!

    I have these points of a line:
    (100, 6.5) (110, 5.9) (120, 5.4) (130, 5.0) (140, 4.6) (150, 4.3) (160, 4.1)
    together, they form a curved line, so the slope is inconsistant
    I need the equation of this line....i think it is a hyperbola, so it may possibly have something to do with the equation y=1/x...thanks
    Last edited by cortnee; November 7th 2007 at 05:40 PM. Reason: i think this extra information may help
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by cortnee View Post
    I have these points of a line:
    (100, 6.5) (110, 5.9) (120, 5.4) (130, 5.0) (140, 4.6) (150, 4.3) (160, 4.1)
    I need the equation of this line....thanks
    if all these points lie on the same line, then you only need two points to get the line. if not, you are after the best fit line.

    take two points (x_1,y_1) and (x_2,y_2)

    the slope of the line connecting these two points is given by:

    m = \frac {y_2 - y_1}{x_2 - x_1}

    so use that to find m

    when you're done, the equation of the line will be given by the point slope form:

    y - y_1 = m(x - x_1)

    just plug in the values and solve for y and you will get something in the form y = mx + c which is what you want.

    if all the points, in fact, do not lie on the same line, then find the average slope and use it in the formula i gave you. (by that i mean find the slope between each consecutive pair of points and average them).
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