1) Underground houses can be built on sloping terrain by using different architectural approaches to address slope stability issues. 2) Key factors in the design of underground houses on slopes include the topography, soil type, groundwater level, and ensuring slope stability. 3) Different approaches for underground houses on slopes include denying the slopes, earthworks, cascade houses, embedded houses, and half-buried or fully underground houses. Stability analysis using methods like Sarma or Fellenius-Petterson is required.