# Thread: writing equation of line....hyperbola?

1. ## writing equation of line....hyperbola?

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

2. This is more like a parabola. At least, that's what I get. The coordinates match very close. R^2 is .999689. That's very good.

$\displaystyle y=0.0003571429x^{2}-0.132857x+16.207143$

3. Originally Posted by cortnee
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
To the naked eye the trend of these points does have a bit of a curve to it. However I don't think there are nearly enough points to make a solid judgment about the kind of curve. We could potentially fit any number of curves to this data: a circle, ellipse, parabola, or hyperbola. But there are an infinite number of other curves that this data could fit also. (With some effort I imagine you could even fit a sine curve to it.)

Not to mention, if you do decide to fit the data to a hyperbola you will have to make a decision on how you want your asymptotes. I would imagine you would have the capability to pick just about any pair of slant asymptotes you like.

-Dan