The point (-k, -6) after reflection in y-axis becomes (-4, -6), the value of k is:

1. -4

2. 4

3. 8

4. none of these

When a point is reflected in the y-axis, the x-coordinate changes the sign, and the y-coordinate remains the same.

In this case, the point (-k, -6) becomes (k, −6) after reflection. Since the y-coordinate remains -6, we equate the x-coordinate -k to -4.

So, the value of k is -4.

Hence, option 1 is the correct option.