What is the equation of each of the lines described below?

1. The line that passes through $(6,1)$ and $(-10,-7)$.

   Hint (a):

   Calculate the slope between the two points.
   Once you find the slope, write the general equation and use one of the points to solve for the missing parameter.

   Answer (a):

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

2. The line that is perpendicular to $y=\frac{2}{3}x+1$ and passes through $(0,5)$.

   Hint (b):

   The slope of the given line is $\frac{2}{3}$. What is the slope of the perpendicular line?