Which statement best explains the relationship betweenlines AB and CD?
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GIven:-
An graph with two parallel lines.
To find:-
The given condition which sutis it.
Now we find two points form the line.
The points from the line AB is,
[tex](-4,-2),(4,4)[/tex]The points from the line CD is,
[tex](0,-3),(4,0)[/tex]Now the slope of AB is,
[tex]\frac{4+2}{4+4}=\frac{6}{8}=\frac{3}{4}[/tex]Now the slope of CD is,
[tex]\frac{0+3}{4}=\frac{3}{4}[/tex]The both slopes are equal so we have,
They are parallel because the slopes are equal.