The equation given in the question is
5x + 13y = -13
13y = - 5x - 13
y = (- 5/13)x - 1
From the above deduction, it can be easily concluded that the slope is (-5/13) and the y-intercept for the line is -1. I hope that this is the answer that you were looking for and the answer has actually come to your desired help.