Answer:
Step-by-step explanation:
y = ax + b
we will obtain a and b values, based in f(6)=8 and f(9)=3
f(6)=8 ⇒ 8 = a 6 + b ⇒ b = 8 - 6a
f(9)=3 ⇒ 3 = a 3 + b (sustituing b by above expression) ⇒ 3 = 3a + 8 - 6a
⇒ 3 = -3a + 8 ⇒ a = 5/3
b = 8 - 6 . 5/3 ⇒ b = 8 - 10 ⇒ b = -2
so, the linear function is:
f(x) = 5/3 x - 2
---- I'm sorry, f(9)=3 does not match /// there must be an error somewhere in my calculations /// hope can help. cheers!
