What is the rate law expression for the reaction and what

Question

Adding NH3 to the stack gases at an electric power generating plant can reduce NO_x emissions. This selective noncatalytic reduction (SNR) processes depends on the reaction between NH2 (an odd-electron compound) and NO.

NH₂(g) + NO(g) ------> N₂(g) + H₂O(g)

The following kinetic data were collected at 1200 K

Experiment     [NH₂] (M)       [NO] (M)     Rate (M/s)

1                       1.00 x 10^-5     1.00 x 10^-5    0.12

2                       2.00 x 10^-5    1.00 x 10^-5      0.24 

3                       2.00 x 10^-5     1.50 x 10^-5    0.36

4                      2.50 x 10^-5     1.50 x 10^{-5     0.45}

What is the rate law expression for the reaction, and what is the value of the rate constant at 1200 K?