SOLUTION: Write a rule for the function. X f(x) ----------- ----------- ----------- -------- -2 -3 (-2,-3) -1 -5

Algebra ->  Linear-equations -> SOLUTION: Write a rule for the function. X f(x) ----------- ----------- ----------- -------- -2 -3 (-2,-3) -1 -5      Log On


   



Question 136144: Write a rule for the function.
X f(x)
--------------------------------------------
-2 -3 (-2,-3)
-1 -5 (-1,-5)
0 -7 (0,7)
1 -9 (1,-9)
Please help I have been trying to do this problem since forever!!!!

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Treat the x and y values as two series of numbers
X = -2, -1, 0, 1 ...
Y = -3, -5, -7 -9 ...
Now look at the differences in each as you move from left to right. Every increase in X = 1. (each time you move to the next number, the value if x increases by 1).
Each time you move one entry to the right in the Y series, you decrease the previous value by 2.
We are looking a linear relationship here. If you are familiar with the formula y=mx +b, we have a 'slope' of %28change+in+y%29%2F%28change+in+x%29 = -2%2F1 = -2
The y intercept is the value of y, where x equal 0. That is given as -7.
y+=+-2x+-+7
graph%28600%2C400%2C+-10%2C+10%2C+-10%2C+10%2C+-2x-7%29
Make sense?