slope

The main way to deal with a slope is to make it into a terrace or series of terraces. In this way, areas of level surface can be created. The idea is to see the slope as a series of steps.

Making terraces means cutting and filling, digging by hand on  small scale or with machinery. Retaining walls may be needed depending on location. 

It is possible sometimes to widen the space at the house side, at the bottom of the slope and push back the slope by making it more severe. This might need engineering advice on a retaining wall.