Answer
Opposite sides of the four sided figure lie on parallel lines,
with one pair having slopes $-\displaystyle \frac{2}{5}$ and the other with $\displaystyle \frac{4}{3}.$
Work Step by Step
Use: $m=\displaystyle \frac{\text{change in y}}{\text{change in x}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$, parallel lines have equal slopes.
Plot the points (see below).
The slope of the line passing through $(0,1)$ and $(5,-1)$ is
$m=\displaystyle \frac{-1-1}{5-0}=\frac{-2}{5}$
The slope of the line passing through $(-3,-3)$ and $(2,-5)$ is
$m=\displaystyle \frac{-5-(-3)}{2-(-3)}=\frac{-2}{5}$
So, we have a pair of parallel lines.
The slope of the line passing through $(0,1)$ and $(-3,-3)$ is
$m=\displaystyle \frac{-3-1}{-3-0}=\frac{-4}{-3}=\frac{4}{3}$
The slope of the line passing through $(2,-5)$ and $(5,-1)$ is
$m=\displaystyle \frac{-1-(-5)}{5-2}=\frac{4}{3}$,
... and we have another pair of parallel lines.
Opposite sides of the four sided figure lie on parallel lines,
with one pair having slopes $-\displaystyle \frac{2}{5}$ and the other with $\displaystyle \frac{4}{3}.$
