Use the diagram to awnser the questions.

is line m parallel to line n? explain

is m perpendicular to line k? explain

We have

 Part A
 The first thing we must do in this case is to hide the slopes of each line.
 line m:
 m = (- 4-3) / (0 - (- 4))
 m = -7 / 4
 Line n:
 n = (- 2-2) / (3-1)
 n = -4 / 2
 n = -2
  
 Lines m and n are not parallel because their slopes are different.

 Part B: 
 We look for the slope of the K line:
 k = (1 - (- 3)) / (4 - (- 3))
 k = 4/7
 We observe that it is true that:
 k = -1 / m
 
 The lines are perpendicular.