Question

Find the linear function such that f(-1)=7 and f(4)=-5

Answer 1

`\begin{gathered} f(x)=mx+b \\ \text{ where } \\ m=(f(b)-f(a))/(b-a) \\ \\ m=(-5-7)/(4-(-1)) \\ \\ m=(-12)/(5) \\ \\ f(-1)=-(12)/(5)(-1)+b \\ \\ 7=(12)/(5)+b \\ b=7-(12)/(5) \\ \\ b=(23)/(5) \\ \\ \\ f(x)=-(12)/(5)x+(23)/(5) \end{gathered}`