Question

The linear function f with values f(−6)=8 and f(5)=3 is f(x)=

Answer 1

@ganeshie8

Answer 2

a linear function is of this form-> \(f(x) =ax+b\)
where \(a\) and \(b\) are constants.

\(f(-6)=a(-6)+b\)
and u know that \(f(-6)=8\)
so
\(8=-6a+b\) <--------------equation 1

and

\(f(5)=a(5)+b\)
and u knw that \(f(5)=3\)
so
\(3=5a+b\) <---------------equation 2

now you got 2 equations solve then to get \(a\) and \(b\)

then put the values of \(a\) and \(b\) in this-> \(f(x)=ax+b\) this is the required function