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you move right 9 units and left 6 units. you end at (-1, -5). where did…

Question

you move right 9 units and left 6 units. you end at (-1, -5). where did you start?

Explanation:

Step1: Analyze vertical movement (y - coordinate)

The y - coordinate doesn't change during horizontal (right/left) movements. So the starting y - coordinate is the same as the ending y - coordinate, which is - 5.

Step2: Analyze horizontal movement (x - coordinate)

Let the starting x - coordinate be \(x\). Moving right 9 units means we add 9 to \(x\), and then moving left 6 units means we subtract 6 from the result. The final x - coordinate is - 1. So we can set up the equation: \(x + 9-6=-1\).
Simplify the left - hand side of the equation: \(x + 3=-1\).
Subtract 3 from both sides of the equation: \(x=-1 - 3=-4\).

Answer:

\((-4,-5)\)