Question

HELP PLEASE! Use the diagram to awnser the questions.

Is line m parallel to line n? Explain

Is m perpendicular to line k? Explain

Answer 1

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
 Answer: 
 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
 Answer:
 The lines are perpendicular.

Answer 2

Answer/Explanation:

Line M is not parallel to line N, so the answer would be Option C)"no the slopes are not equal" and for line M and line K the slopes are perpendicular, therefore making your answer option B)"Yes the slopes are negative reciprocals".