The slope intercept of a line is:
[tex]y=mx+b[/tex]We re-write the equation given:
[tex]\begin{gathered} 2x+5y=10 \\ 5y=-2x+10 \\ y=\frac{-2x+10}{5} \\ y=\frac{-2x}{5}+\frac{10}{5} \\ y=-\frac{2}{5}x+2 \end{gathered}[/tex]The graph of this line is shown below:
