Write a linear function with the values f(6)=8 and f(9)=3

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!

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step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.