Answer: -10.
Step-by-step explanation: We are given the inverse variation equation xy = k
We need to find the value of the constant of variation, k for given values x = -2 and y=5.
In order to find the value of the constant of variation, k we need to plug the values of x and y in given inverse variation equation xy = k and solve for k.
Plugging x=-2 and y =5, we get
xy = k => (-2) (5) = k.
On multiplying -2 and 5, we get -10.
Therefore, k = -10.