Answer :
The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
In the question ,
it is given that ,
there are four line on the graph ,
to check whether lines are parallel or perpendicular , we need slope,
the Line L4 passes through the points , (0,-5) and (-2,-5),
slope = (-5+5)/(-2)
= 0
the Line L1 passes through the points (-3,-2) and (-6,-8) ,
slope = (-8+2)/(-6+3)
= -6/(-3)
= 2 ,
for the lines to be perpendicular the product of slope should be -1,
but the product of slope of Line1 and Line 4 is 0 .
So , they are not perpendicular .
the line L2 passes through the points (3 , 3.5) and (0 , -2.5) ,
slope = (3.5+2.5)/3
= 6/3
= 2 ,
Since the slope of Line1 and Line2 are equal ,
So , they are parallel .
Therefore , The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
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