Combination of both parallel and perpendicular line equations

Lessons

1. Find the slope of a line that is parallel and perpendicular to the following.
   
   1. y = -${2 \over 3}$x$-5$
      
   2. 4x - 7y + 4 = 0
      
   3. ${2 \over 3}x - {1 \over 4}y + {5 \over 2} =0$
2. Given the equations of the following line determine if they parallel, perpendicular, or neither.
   
   1. 3x + 4y = 8
      -9x -12y = 6
      
   2. x - 3y = 9
      2x + 6y = 3
      
   3. 2x + 5y = 10
      -5x + 2y = 5
3. Find the equation of the line that passes through given point and is i.) parallel ii.) perpendicular to the given line.
   
   1. p (2,4); y = 2x - 6
      
   2. p (-5,2); ${2 \over 3}x + {3 \over 4}y =12$