Answer:
Parallel
Explanation:
First, we find the slope of the line joining points A(-4, 7) and B(-2, 6).
[tex]\begin{gathered} \text{Slope=}\frac{\text{Change in y}}{Change\text{ in x}} \\ =\frac{6-7}{-2-(-4)} \\ =\frac{-1}{-2+4} \\ =-\frac{1}{2} \end{gathered}[/tex]Next, we find the slope of the line joining points C(2,-2) and D(-8,3).
[tex]\begin{gathered} \text{Slope=}\frac{\text{Change in y}}{Change\text{ in x}} \\ =\frac{3-(-2)}{-8-2} \\ =\frac{5}{-10} \\ =-\frac{1}{2} \end{gathered}[/tex]Since the slopes of the two lines are the same, lines AB and CD are parallel,