Find Which of the Following System of Inequalities Has a Right

Multiple Choice

Find which of the following system of inequalities has a right triangle as a graphed solution set. System I: $\left\{ \begin{array} { l } y \leq \frac { 1 } { 5 } x + 4 \\y \geq 0 \\x \geq 0\end{array} \right.$ System II: $\left\{ \begin{array} { l } y \leq \frac { 4 } { 5 } x - 4 \\y \geq 0 \\x \geq 0\end{array} \right.$ System III: $\left\{ \begin{array} { l } y \leq \frac { 4 } { 5 } x + 5 \\y \geq 0 \\x \geq 0\end{array} \right.$

A) Only systems I and III have a right triangle as a graphed solution set.
B) Only systems II and III have a right triangle as a graphed solution set.
C) No systems have a right triangle as a graphed solution set.
D) Only system III has a right triangle as a graphed solution set.
E) Only systems I and II have a right triangle as a graphed solution set.