Write the equation of each line described below.

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

   Answer (a):

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

2. The line perpendicular to the line in part (a) passing through the point $(1,4)$.

   Hint (b):

   Perpendicular slopes are negative reciprocals of one another.

   More Help (b):

   The negative reciprocal of $-2$.
   $y=-2x+b$