Question

Write a rule for the linear function in the table.


x f(x)
1 –7
2 –10
3 –13
4 –16
-------------------------
a. f(x)=-1/3x-4
b. f(x)=3x+4
c. f(x)=-3x-4
d. f(x)=x-7

Answer 1

Well, to create linear function, you are going to need slope and y-intercept, right?

Answer 2

yes..

Answer 3

So your goal is to track slope and y-intercept.

Answer 4

y-intercept is value of y when x=0

Answer 5

Okay

Answer 6

I still have no idea what to do..

Answer 7

Look at table. For each time x value increase by 1, how much do y-value increase or decrease?

Answer 8

It increases by 3

Answer 9

Close. decrease by 3.

Or you can say increase by -3.

Answer 10

So use this fact, what is y when x=0?

Answer 11

-4..I think.