SOLUTION: <pre>Take a look at the table below and write out an equation for f(x) ___________ ___________ ___ <u> x | -2 | -1 | 0 | 1 | 2 |</u> <u>f(x) | -5 | -2 | 1 | 4 | 7 |</u></pre>

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Question 141528:
Take a look at the table below and write out an equation for f(x) 
___________________________
 x   | -2 | -1 | 0 | 1 | 2 |
f(x) | -5 | -2 | 1 | 4 | 7 |



Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
Pick any two ordered pairs represented in the table. Call one of them point 1 and the other one point 2. Subtract the f(x) value for the first point from f(x) value of the second point. Then subtract the x value for the first point from the x value of the second point. Divide the f(x) difference by the x difference. Call that value m.

One of your points has a 0 for an x-coordinate, call the y-coordinate of that point b.

Now replace m and b in with the values you determined above.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
Plot them



They looks as though a line will pass through 
them, so we draw a line through them:



Now all we need to do is find the equation of
that line:

So pick any two of those points, say, (0,1) and (1,4)



Since (0,1) is the y-intercept, we can just use
the slope-intercept form, with  and 





Change the  to 



Edwin

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