Question

If f(x) =ax+b ,f(-3)=-4 and f(3)=2, find the value of a and b please help​

Answer 1

Answer:

a = 1

b = -1

Step-by-step explanation:

First, let's make equations out of those given f(x)'s

-4 = -3a + b

2 = 3a + b

We can use elimination method to get rid of the a real quick

-4 = b

2 = b

Add those together

-2 = 2b

Divide both sides by 2

-2/2 = 2b/2

b = -1

Plug in the new b in one of the original equations; I'm gonna use the bottom one

2 = 3a - 1

+ 1        + 1

3 = 3a

3/3 = 3a/3

a = 1