Graph the inequality. \[ -2 x+5 y>5 \]

Step 1 ：Rearrange the inequality into the form y = mx + b, where m is the slope and b is the y-intercept.

Step 2 ：The inequality becomes \(y > \frac{2}{5}x + 1\).

Step 3 ：Plot the line \(y = \frac{2}{5}x + 1\).

Step 4 ：Shade the region above the line to indicate the values of x and y that satisfy the inequality.

Step 5 ：Final Answer: \(\boxed{\text{The graph of the inequality } -2x + 5y > 5 \text{ is a line with slope } \frac{2}{5} \text{ and y-intercept } 1, \text{ with the region above the line shaded to indicate the values of } x \text{ and } y \text{ that satisfy the inequality.}}\)