Question

Determine whether WX←→− and YZ←→ are parallel, perpendicular, or neither.

W(−2,−1),X(4,1),Y(1,−4),Z(5,−4)

Answer 1

WX : (-2,-1)(4,1)
slope = (1 - (-1) / (4 - (-2) = 2/6 = 1/3

YZ : (1,-4)(5,-4)...this is a horizontal line with a slope of 0

answer is neither

Answer 2

Answer:

Neither

Step-by-step explanation:

We have to determine whether WX and YZ are parallel, perpendicular or neither.

Coordinates are W(-2, -1) X(4, 1) Y(1, -4) and Z(5, -4)

Now we will find the slopes of WX and YZ.

Slope of WX = $(\frac{y-y'}{x-x'})$ =  $(\frac{1+1}{4+2})$

                     =  $\frac{2}{6}$  =  $\frac{1}{3}$

Slope of YZ =  $(\frac{-4+4}{5-1})$ = 0

Since there is no relation in slopes of WX and YZ. Therefore, answer will be Neither.