[tex]\begin{gathered} \text{First, find the slope,} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{6-2}{12-(-4)} \\ m=\frac{4}{16}=\frac{1}{4} \\ T\text{he equation is,} \\ y-y_1=m(x-x_1) \\ y-2=\frac{1}{4}(x+4) \\ \end{gathered}[/tex]
Thus, the option (b) is correct.