The point-slop form for a line is
[tex]y-y_0=m(x-x_0),[/tex]so, we only need to subsitute and solve for y or put it in the general form
[tex]\begin{gathered} y-(-5)=\frac{1}{5}(x-(-10))_{} \\ y+5=\frac{1}{5}x+2 \\ y=\frac{1}{5}x-3 \end{gathered}[/tex]Another way to write this equation is
[tex]\begin{gathered} y=\frac{1}{5}x-3 \\ y+3=\frac{1}{5}x \\ 5y+15=x \\ x-5y-15=0 \end{gathered}[/tex]