We want to select the graph that represents the equation;
[tex]2x-5y=-10[/tex]Let's rewrite this equation as;
[tex]\begin{gathered} -5y=-2x-10 \\ divide\text{ both sides by -5, we obtain;} \\ y=\frac{2}{5}x+2 \end{gathered}[/tex]This equation has a slope of 2/5, an x-intercept of -5. and a y-intercept of 2, lets inspect the graphs to see which one matches it.
Going through the options, we see that the matching graph-the correct graph is Option A.