Question

Line WX contains (−1, 2) and (4, 12) Line YZ contains points (−5, 8) and (2, −6). Lines WX and YZ are

perpendicular because the slopes are the same

parallel because the product of the slopes is −1

perpendicular because the product of the slopes is −1

parallel because the slopes are the same

Answer 1

Find the slopes first:
\[m=\frac{ y _{2}-y _{1} }{x _{2}-x _{1} }\]
So for WX:
\[m=\frac{ 12-2 }{4-(-1) }=\frac{ 10 }{5 }=2\]

Similiarly find the other slope.

Lines are parallel is they have the same slope (or are both vertical).

Lines are perpendicular is their slopes are NEGATIVE RECIPROCALS of one another - that is, if the product of the slopes = -1.

What do you think? :)

Answer 2

I THINK ITS um parallel?

Answer 3

THE ANSWER IS: D parallel because the slopes are the same