The point-slope formula of a line can be expressed by the following equation:
[tex]y-y_1=m\cdot(x-x_1)[/tex]Where m is the slope and (y1, x1) is a point that belong to the line. For this problem we were given a line with slope 5/2 and a point (-4,-8). By replacing these values on the general expression above we have:
[tex]\begin{gathered} y-(-8)=\frac{5}{2}\cdot(x-(-4)) \\ y+8=\frac{5}{2}\cdot(x+4) \end{gathered}[/tex]