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
m1 = 7-4/5-3 = 3/2
and the slope of line YZ is
m2 = -1-2/6-8 = -3/-2 = 3/2
Since , we get m1 = m2, so the two lines WX and YZ are parallel.
Thus, the lines WX and YZ are parallel.
They are not perpendicular, so if you mistyped something and it was parallel that would be the answer, or the answer is neither the mysterious angle form or perpendicular. Hope this helps.
