Line WX contains (−1, 2) and (4, 12) Line YZ contains points (5, 8) and (−2, −6). Lines WX and YZ are perpendicular, because the slopes are the same parallel, because the product of the slopes is −1 perpendicular, because the product of the slopes is −1 parallel, because the slopes are the same

Respuesta :

line WX :
(-1,2)(4,12)
slope = (12 - 2) / (4 - (-1) = 10/5 = 2

line YZ :
(5,8)(-2,-6)
slope = (-6 - 8) / (-2 - 5) = - 14 / -7 = 2

Line WX and line YZ are PARALLEL because the slopes are the same
irspow
slope=m=(y2-y1)/(x2-x1)

mWX=(12-2)/(4--1)

mWX=10/5

mMX=2

mYZ=(-6-8)/(-2-5)

mYZ=-14/-7

mYZ=2

Since m1=m2 these lines are parallel, or as your choices state:

"Parallel, because slopes are the same."