I want to create a slope map using a LiDAR DEM. I think that I should use the slope tool; but I need a slope map with a 2m resolution and I'm not sure how to do that.

How can I have a slope map with a 2m resolution using a DEM with 1m resolution. See DEM's characteristics in picture below.

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Before creating your slope layer (Slope tool is the right choice) you can use the Resample tool to change the cellsize of your input raster, without changing the rasters extent.
It is however important that you change Resampling Technique to Bilinear or Cubic which is the right choice for continuus data.

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