One line passes through the points
\[\blueD{(-7,-4)}\] and
\[\blueD{(5,4)}\]. Another line passes through points
\[\greenD{(-4,6)}\] and
\[\greenD{(6,-9)}\].
Are the lines parallel, perpendicular, or neither?
The slope of the first line is $\dfrac{4-(-4)}{5-(-7)} = \dfrac{8}{12} = \dfrac{2}{3}$.
The slope of the second line is $\dfrac{(-9)-6}{6-(-4)} = \dfrac{-15}{10} = -\dfrac{3}{2}$.
Since $\dfrac{2}{3} \neq -\dfrac{3}{2}$, the two lines are $\boxed{\text{neither}}$ parallel nor perpendicular.