Question

Three lines have these equations as shown. Determine if each pair of lines are parallel, perpendicular, or neither and explain why.

Line m: y= 2/3x-7
Line n: y= -2/3(x+1)
Line p: 7= -3/2x+4

a.) Lines m and n are ________ because ____________________.
b.) Lines m and p are ________ because ____________________.
c.) Lines n and p are _________ because ____________________.

Answer 1

a) Lines
`m` and
`n` are neither parallel nor perpendicular because their slopes are neither equivalent nor negative reciprocals of each other.

b) Lines
`m` and
`p` are perpendicular because their slopes are negative reciprocals of each other.

c) Lines
`n[/ted] and [tex]p`are neither parallel nor perpendicular because their slopes are neither equivalent nor negative reciprocals of each other.