General Question

invic's avatar

How do find an equation with a list of given points?

Asked by invic (110points) November 3rd, 2009

I have no clue nor can i remember the method to find an equation for a list of points by hand without using a program like excel or logger pro. All your given are the x-y coordinates and from that you find an equation. So how?

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6 Answers

JONESGH's avatar

an equation for a line?

JONESGH's avatar

if you mean a equation for a line, take 2 points. we’ll call them (x1,y1) and (x2,y2) the standard form for a line is y=mx+b
to find slope, or m the equation is (y2-y1)/(x2-x1)
then you just take one of your y intercepts for b (either y1 or y2, doesn’t matter)
good luck! and welcome to fluther

Haleth's avatar

I think there’s a little more work to be done after you find the slope. After you find the slope (m), you insert that and your first pair of points into this equation:

y-y1=m (x-x1)
So say your points are (1,2) and (2,4). First you solve for m:
(4–2)/(2–1)
2/1
The slope, m, is 2. Now insert that and points (1,2) into the equation.
y-2=(2) (x-1) Convert the equation into the form y=mx+b.
y-2= 2x-2.
y=2x

Haleth's avatar

I forgot to say that this formula only lets you find the slope for two given points. It isn’t exact for a whole set of data.

ratboy's avatar

You must be more specific. Do you want, say, a polynomial that passes through each of the points, or something statistical like least squares?

invic's avatar

i got specific by postn a new question here link

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