Answer: -10
Step-by-step explanation:
Given: The inverse variation equation is given by :-
[tex]xy=k[/tex]
To find : The constant of variation, k, when x=-2 and y=5
Substitute the given values of x and y in the given inverse equation , we get
[tex]-2\times 5=k\\\\\Rightarrow\ k=-10[/tex]
Hence, the value of constant of variation = -10
