To find the relationship between the given lines, we have to find the slope of both lines using slope formula, which is
[tex] m = \frac{ y_{2} -y_{1}}{x_{2} - x_{1}} [/tex]
So for AB, we will get
[tex] m=\frac{-7+4}{5-3}=-\frac{3}{2} [/tex]
And for CD , we will get
[tex] CD = \frac{6-3}{6-8}= -\frac{3}{2} [/tex]
Since the slopes of the two lines are equal , and when slopes are equal , lines are parallel .
Correct option is A .
