Question

Determine a função afim f(x) = ax + b, sabendo que f(1) = 5 e f(–3) = –7

Answer 1

F(1)= a(1)+b=5 -> a+b=5 -> b=5-a
F(-3)=a(-3)+b=-7-> -3a+b=-7-> -3a=-7-b (-1) -> 3a=7+b
Substituindo -> 3a=7+5-a-> 4a=12 -> a=12/4 a=3
B=5-3-> b=2
F(x)=3x+2