Question

a b 1 1 2 2 6 3 10 14

Answer 1

Using the slope intercept equation:

$\begin{gathered} b=ma+k \\ for\colon \\ a=1,b=2 \\ 2=m+k_{\text{ }}(1) \\ for\colon \\ 14=4m+k_{\text{ }}(2) \\ (2)-(1) \\ 12=3m \\ m=4 \\ k=2-4=-2 \\ so\colon \\ b=4a-2 \end{gathered}$