down the slope of a hill; downward.
What downhill means?
1 : toward the bottom of a hill. 2 : toward a worsened or inferior state or level —used especially in the phrase go downhill.
Is downhill a direction?
To do this, one partitions the flat space according to nearby slopes: Walking in the direction of a nearby downward slope is going “downhill”; an object located in the direction of a nearby uphill slope is located “uphill” (Wassmann, 1994).