ANSWER
Yes, k=-3 and y=-3x
Step-by-step explanation
Let's assume y varies directly as x.
Then, we can write the equation:
y=kx
From the table, when x=1, y=3
Substitute these values to obtain;
3=-k
This implies
k=-3
The equation now becomes:
y=-3x
We check for a second point to see if it satisfy the equation.
When x=5,y=-15
-15=-3(5)
-15=-15
Hence the relation represent a direct variation.