Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
parallel lines have the same slopes , perpendicular lines have slope which are opposite reciprocals.
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A( 3 , 5 )
B( - 2 , 7 )
[tex]m_{AB}[/tex] = [tex]\frac{7-5}{-2-3}[/tex] = - [tex]\frac{2}{5}[/tex]
C( 10 , 5 )
D( 6 , 15 )
[tex]m_{CD}[/tex] = [tex]\frac{15-5}{6-10}[/tex] = - [tex]\frac{5}{2}[/tex]
The answer is (A) Neither