Question

you move up 4 units and down 1 unit. you end at (4, 4). where did you start?

Explanation:

Step1: Analyze vertical - movement effect on y - coordinate

The net vertical movement is moving up 4 units and down 1 unit. The net upward movement is $4 - 1=3$ units. Let the starting y - coordinate be $y_0$ and the ending y - coordinate be $y = 4$. We know that $y=y_0 + 3$.

Step2: Solve for the starting y - coordinate

Rearranging the equation $y=y_0 + 3$ to solve for $y_0$, we get $y_0=y - 3$. Substituting $y = 4$ into the equation, we have $y_0=4 - 3=1$.
The x - coordinate does not change during the up - and - down movement. The ending x - coordinate is 4, so the starting x - coordinate is also 4.

Answer:

$(4,1)$