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>

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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>      Log On


   

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) About Me  (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 y=mx%2Bb with the values you determined above.

Answer by Edwin McCravy(20064) About Me  (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)

m+=+%28y2-y1%29%2F%28x2-x1%29+=%284-1%29%2F%281-0%29+=+3

Since (0,1) is the y-intercept, we can just use
the slope-intercept form, with m=3 and b=1

y+=+mx%2Bb

y+=3x%2B1

Change the y to f%28x%29

f%28x%29=3x%2B1

Edwin