Question

you move left 5 units. you end at (-3, 1). where did you start?

Explanation:

Step1: Analyze x - coordinate change

Moving left 5 units means subtracting 5 from the original x - coordinate. Let the original x - coordinate be $x_0$ and the final x - coordinate be $x_1=-3$. Then $x_1=x_0 - 5$.

Step2: Solve for original x - coordinate

We can rewrite the equation $x_1=x_0 - 5$ as $x_0=x_1 + 5$. Substituting $x_1=-3$ into the equation, we get $x_0=-3 + 5=2$.

Step3: Analyze y - coordinate

The y - coordinate does not change during a horizontal (left - right) movement. The final y - coordinate $y_1 = 1$, so the original y - coordinate $y_0=1$.

Answer:

$(2,1)$