|
Question 153214This question is from textbook
: find a function formula that takes the x values and produces the y values
x y
0 -2
1 1
2 4
3 7
4 10
I will send a check for your help can you give me a mailing address
This question is from textbook
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Notice how as x goes up by 1, y goes up by 3. So this implies a linear relationship. This means that the equation is a line.
So let's find equation of the line through the first two points (0,-2) and (1,1) (note: you can pick any pair of points)
First let's find the slope of the line through the points ) and )
 Start with the slope formula.
 Plug in  ,  ,  ,  , ,
 Subtract  from  to get 
 Subtract  from to get
 Reduce
So the slope of the line that goes through the points and is
Now let's use the point slope formula:
 Start with the point slope formula
 Plug in , , and
 Rewrite  as 
 Distribute
 Multiply
 Subtract 2 from both sides.
 Combine like terms.
Simplify
So the equation that goes through the points and is
--------------------------------------
Answer:
So the function takes the x values and produces the y values is 
Notice how the graph of goes through the points (0,-2), (1,1), (2,4), (3,7) and (4,10). So this visually verifies our answer.
 Graph of
|
|
|
| |
