If f(x) is a linear function, f(-4)=0. and f(3) = -2, find an equation for f(x).

Answer 1

Linear function means the function has this shape: f(x)=Ax+B. Then, when

x=-4, f(-4)=0=A(-4)+B=-4A+B

x=3, f(3)=-2=A(3)+B=3A+B

We have a system of equations

A=-2/7

B=-8/7