For this question, we compute the slope of each line. To compute the slope of the lines we use the following formula:
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]Line AB:
[tex]m_{AB}=\frac{7-6}{-4+2}=\frac{1}{-2}=-\frac{1}{2}[/tex]Line CD:
[tex]m_{CD}=\frac{-2-3}{2+8}=\frac{-5}{10}=-\frac{1}{2}[/tex]Therefore we conclude that lines AB and CD are parallel.
