Answer
See below.
Work Step by Step
Plugging in the given values into the inequality:
$0.25(\frac{4}{3})-0=\frac{1}{3}\leq1$, thus $(\frac{4}{3},0)$ is not a solution.
$0.25(\frac{2}{3})-(-4)=\frac{25}{6}\gt$, thus $(\frac{2}{3},-4)$ is a solution.