Question

L1:(-1,6),(1,4) and L2:(3,-3),(6,-9) are the plots on the lines parallel, perpendicular, or neither?

Answer 1

not the plots but the lines and they give the plots to find out if they lines are one of those!

Answer 2

Label each point of L1: x1=-1 y1=6, x2=1 y=4
Compute m1 the slope of L1. m1=deltay/deltax
deltay=y2-y1 deltaX=x2-x1
deltay=(4)-(6)=-2 deltax=1-(-1)=1+1=2
deltay/deltax=-2/2=-1 So m1 = -1
Now, if m2 the slope of L2=-1 (also) the the lines are parallel
if m2=+1 the line are perpendicular
If m2 is neither then the lines are neither parallel nor perpendicular.
m2=(-9)-(-3) / (6)-(3)
m2= -9+3/6-3
m2=-6/3=-2.
Conclusion, the lines are neither parallel nor perpendicular.

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