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Suppose f is a linear function such that f(4) = 8 and f(7) = 3. Find the equation for f

1 Answer

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Answer:

f(x) = -5/3 x +44/3

Explanation:

helo : let f(x)= ax+b

f(4) = 8 means : a(4)+b=8 and f(7) = 3 means : a(7)+b=3

you have this system : 4a +b = 8....(*)

7a+b = 3 ....(**)

solve this system use (*) : b = 8 -4a and use (**) : b = 3-7a

so : 8-4a = 3-7a

-4a+7a = 3-8

3a = -5 so a = -5/3

but b =8-4a so : b= 8-4(-5/3) =8+20/3 =44/3

f(x) = -5/3 x +44/3

User Smruti Ranjan
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