Answer:
Step-by-step explanation:
Calculate the slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let m₁ and m₂ are the slopes of AB and CD.
Then
if m₁ = m₂ → lines are parallel
if m₁ · m₂ = -1 → lines are perpendicular
[tex]A(0;\ -4);\ B(-1;\ -7)\\\\m_{AB}=\dfrac{-7-(-4)}{-1-0}=\dfrac{-7+4}{-1}=\dfrac{-3}{-1}=3\\\\C(3;\ 0);\ D(-3;\ 2)\\\\m_{CD}=\dfrac{2-0}{-3-3}=\dfrac{2}{-6}=-\dfrac{2:2}{6:2}=-\dfrac{1}{3}[/tex]
[tex]m_{AB}\neq m_{CD}[/tex] - no parallel
[tex]m_{AB}\cdot m_{CD}=3\cdot\left(-\dfrac{1}{3}\right)=-\dfrac{3}{3}=-1[/tex] - perpendicular
