Question

Determine whether wx and yz are parallel,perpendicular,or neither.w(3,4),X(5,7),y(8,2),z(6,-1)

Answer 1

they are parallel

Explanation:

the equation has the same numerator and denominator so the slope would be the same making it parallel

Answer 2

Answer: The lines WX and YZ are parallel.

Step-by-step explanation: We are given to check whether the lines WX and YZ are parallel, perpendicular or neither if the co-ordinates of the endpoints of both the lines are

W(3,4), X(5,7), Y(8,2) and Z(6,-1).

We know that the slope of a straight line passing through the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

So, the slope of the line WX is

`m_1=(7-4)/(5-3)=(3)/(2)`

and the slope of line YZ is

`m_2=(-1-2)/(6-8)=(-3)/(-2)=(3)/(2).`

Since, we get
`m_1=m_2,` so the two lines WX and YZ are parallel.

Thus, the lines WX and YZ are parallel.