Question

you move down 5 units. you end at (-5, -2). where did you start?

Explanation:

Step1: Identify coordinate change rule

Moving down affects the $y$-coordinate: subtract 5 from starting $y$ to get ending $y$. The $x$-coordinate stays the same.

Step2: Define starting coordinates

Let starting point be $(x_s, y_s)$. We know ending point is $(-5, -2)$, so $x_s = -5$.

Step3: Solve for starting $y$-coordinate

Set up equation: $y_s - 5 = -2$
Solve: $y_s = -2 + 5 = 3$

Answer:

$(-5, 3)$