The point slope equation general form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]x1 and y1 are the coordinates of a point in the line and m is the slope.
For the given data you get the next equation:
[tex]\begin{gathered} y-(-7)=\frac{10}{3}(x-(-5)) \\ \\ y+7=\frac{10}{3}(x+5) \end{gathered}[/tex]