Does slew rate of an op-amp affect a low pass filter?
there will a maximum rate of change in the output voltage, ie slew rate, which make the signal distorted.


This is a correct description of slew rate limit.


  Does slew rate of this op-amp affect the filter? what will change?


If correct operation of your filter requires the output of the op-amp to change faster than the slew rate limit allows, then it will not operate correctly.

Notice that the slew rate depends on both the frequency content and the amplitude of the output signal. So if you have a problem with slew rate limiting, you might be able to correct it by either using lower frequencies (reducing the cut-off frequency of your LPF), or by reducing the output amplitude (by reducing the input amplitude, or reducing the gain of the filter circuit).