Question

B LM and NP if L(-2, 2) M(2,5) and N(0,2) P(3,-2)

Are they parallel, perpendicular, or neither?

Answer 1

Perpendicular to each other.

Explanation:

slope of LM (m1)

=(5-2) / [2-(-2)]

=3/4

slope of NP (m2)

=(-2-2) / (3-0)

=-4/3

For LM and NP to be parallel, their slopes must be equal ,

But m1≠ m2

For LM and NP to be perpendicular, their product of slopes must be equal to -1,

m1 × m2

= (3/4) ×(-4/3)

= -1