To find the equation, we use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]Where,
[tex]\begin{gathered} m=-\frac{3}{5} \\ x_1=-5 \\ y_1=-3 \end{gathered}[/tex]Let's replace them.
[tex]\begin{gathered} y-(-3)=-\frac{3}{5}(x-(-5)) \\ y+3=-\frac{3}{5}x-3 \\ y=-\frac{3}{5}x-3-3 \\ y=-\frac{3}{5}x-6 \end{gathered}[/tex]