Answer
perpendicular
Work Step by Step
By using the slope formula, the slopes of the lines are:
$m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-(-4)}{3-6}=\frac{3}{-3}=-1.$
$m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{5-7}{-4-(-2)}=\frac{-2}{-2}=1.$
Since $m_1m_2=-1$, they are perpendicular.