Question

Which statement best explains the relationship betweenlines AB and CD?

Answer 1

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,

$(-4,-2),(4,4)$

The points from the line CD is,

$(0,-3),(4,0)$

Now the slope of AB is,

$\frac{4+2}{4+4}=\frac{6}{8}=\frac{3}{4}$

Now the slope of CD is,

$\frac{0+3}{4}=\frac{3}{4}$

The both slopes are equal so we have,

They are parallel because the slopes are equal.