You move down 1 unit and right 1 unit. You end at (5, -5). Where did you start?

Break Down the Problem

1. You move down 1 unit from your starting point.
2. You move right 1 unit from where you ended up after moving down.
3. Your final position is (5, -5).

Relevant Concepts

To find the starting position, we need to reverse the movements made:

• Moving down 1 unit means we need to move up 1 unit.
• Moving right 1 unit means we need to move left 1 unit.

Analysis and Detail

1. Starting from the final position (5, -5), we reverse the movements:
   • Move up from (5, -5): $y = -5 + 1 = -4$
   • Move left from (5, -4): $x = 5 - 1 = 4$

Verify and Summarize

The starting position before the movements was (4, -4). To verify:

1. Start at (4, -4).
2. Move down 1 unit to (4, -5).
3. Move right 1 unit to (5, -5).

Final Answer

The starting position is (4, -4).