Final answer:
The equation that represents an inverse variation function passing through the given points is y = -20/x.
Step-by-step explanation:
The equation that represents an inverse variation function can be written as y = k/x, where k is the constant of variation. To find k, we can use the given points. Using the first point (4, -5), we have -5 = k/4. Solving for k, we get k = -20. Therefore, the equation for the inverse variation function that passes through the given points is y = -20/x.
Learn more about Inverse variation function