Respuesta :

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

[tex]m=\dfrac{d-b}{c-a}.[/tex]

So, the slope of the line WX is

[tex]m_1=\dfrac{7-4}{5-3}=\dfrac{3}{2}[/tex]

and the slope of line YZ is

[tex]m_2=\dfrac{-1-2}{6-8}=\dfrac{-3}{-2}=\dfrac{3}{2}.[/tex]

Since, we get [tex]m_1=m_2,[/tex] so the two lines WX and YZ are parallel.

Thus, the lines WX and YZ are parallel.

Answer:

they are parallel

Step-by-step explanation:

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