Question

If f(x)=ax+b and f(2)=1 and f(-3)=11, what is the value of A?

Answer 1

a = -2

Explanation:

f(x)=ax+b

f(2)=1

f(-3)=11

f(2) = 1 means 2a+b =1

f(-3)=11 means -3a + b = 11

Subtracting the two equations

-(-3a +b =11) becomes 3a -b = -11 so we can add

2a+b =1

3a - b = -11

----------------------

5a = -10

Divide by 5

5a/5 = -10/5

a=-2