A carpenter needs to add a handrail to the staircase shown. The handrail needs to be parallel to the staircase. Each step is 9 inches wide and 6 inches high

a) calculate the handrail slope.
b) if a coordinate plane is placed over the diagram of the same stairs and one endpoint of the handrail is at (0, 3), where is the other endpoint located?

a) The handrail must increase in elevation by 2 for each horizontal distance of 3. The slope is therefore 2/3.

b) The other endpoint will be at
(L, 3 + (2/3) L)
where L is the horizontal distance covered by the flight of stairs. You omitted a dimension needed to solve the problem. Perhaps it was in the Figure you did not show.