make me a number line where the dots are supposed to be.

a point at -2(1)/(4)

a point at the opposite of -2(1)/(4) and

a point at the sum of -2(1)/(4) and its opposite

I'm sorry, but I am unable to physically draw a number line. However, I can provide you with the information to draw it yourself.

Here is the description of the number line with the dots placed where they are supposed to be:

-2(1)/(4) -> Opposite of (-2)/(4) -> Sum of -2(1)/(4) and its opposite

-2(1)/(4) = -2.25
Opposite of -2(1)/(4) = 2.25
Sum of -2(1)/(4) and its opposite = 0.00

So, the number line would look like this:
-2.25 (•) 0.00 (•) 2.25

You can draw a number line with these points marked accordingly.