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Write a linear function f with the given values f(0)=7f(3)=1

Write a linear function f with the given values f(0)=7f(3)=1-example-1
User Palesz
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1 Answer

25 votes
25 votes

The given values are f(0)=7, and f(3)=1.

The general equation of the linear function is


f(x)=mx+b

From the value f(0)=7, subsitute x=0 and f(0)=7 in the general equation of the linear function as follows:


f(0)=m(0)+b
7=b

From the value f(3))=1, substitute x=3 , f(3)=1, and b=7 in the general equation of the linear function as follows:


f(3)=m(3)+7

Here f(3)


1=3m+7

Transferring 7 to the left-hand side, we get


1-7=3m
-6=3m

Transferring 3 to the left-hand side, we get


-(6)/(3)=m
-2=m

Substitute m=-2 and b=7 in the general equation of the linear function as follows:


f(x)=-2x+7

Hence the required linear function is f(x)= -2x+7.

User Anarcat
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