Find the equations of the following lines.

1. The line with slope $= - \frac { 1 } { 2 }$ through $\left(5, − 2\right)$.

   Hint (a):

   $y = mx + b$

2. The line through the points $\left(1, 4\right)$ and $\left(3, 0\right)$.

   Hint (b):

   $\left(y - y_{1}\right) = m\left(x - x_{1}\right)$