Find the equation (in $y=mx+b$ form) of each line described below.

1. A line with slope $\frac { 1 } { 2 }$ passing through the point $(6,1)$.

   Answer (a):

   $y=\frac{1}{2}x-2$

2. The line $y=2x+b$ passing through the point $(1,4)$.

   Hint (b):

   $y=4$ when $x=1$. Substitute these values into the equation and then solve for $b$.