Question

Considerando a função F(x)=ax+b, em que F(2)=5 e F(-1)=6, determine F(1)

Answer 1

f(2)=5
f(-1)=6

f(x)=ax+b
f(2)=2a+b=5
f(-1)=-1a+b=6

2a+b=5
-1a+b=6


2a+b=5
  a-b=-6
______
3a+0b=-1
3a=-1
a=-1/3

-a+b=6
-(-1/3)+b=6
1/3+b=6
b=6-1/3
b=18/3-1/3
b=17/3