The initial equation is:
[tex]-5x+y=-10[/tex]
Now we write it in the slope intercept form so:
[tex]y=5x-10[/tex]
So now we know that the intercept in the y axis is -10, now we can calculate the intercept in the x axis by replacing y=0 so:
[tex]\begin{gathered} 0=5x-10 \\ 5x=10 \\ x=\frac{10}{5} \\ x=2 \end{gathered}[/tex]
So with the coordinates ( 0, -10) and ( 2, 0 ) we can made the graph:
