Final answer:
The slope of the line represented by the equation y = -13/x is 0.
Step-by-step explanation:
The equation y = -13/x represents a hyperbola. The slope of a line is given by the coefficient of x in the equation. In this case, there is no x term in the equation, which means the slope is 0.
Therefore, none of the options given (-13, -1/3, 1/4, or 1/3) are correct. The correct answer is 0.