we know that
the point-slope form of the equation of the line is
\(y-y1=m(x-x1)\)
in this problem we have
\(m=5\) ----> given line
\((x1,y1)=(-2,-13)\)
substitute in the equation of the line
\(y-(-13)=5(x-(-2))\)
\(y+13=5(x+2)\)
therefore
the answer is the option
\(y+13=5(x+2)\)
