Answer
See the graph
Work Step by Step
Given: $2x-5y \geq 10$
$5y \leq 2x-10 $
$y \leq \frac{2}{5}x-2$
The y-intercept is $-2$. Plot a point $(0,-2)$.
Substitute $0$ for y to find another point:
$0=\frac{2}{5}x-2$
$\frac{2}{5}x=2$
$x=5$
Plot another point $\rightarrow ({5},0)$.
The values for y are in the green area.