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

Neither

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 =
`((y-y')/(x-x'))` =
`((1+1)/(4+2))`

=
`(2)/(6)` =
`(1)/(3)`

Slope of YZ =
`((-4+4)/(5-1))` = 0

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