Question

you move down 6 units and up 8 units. you end at (-4, 3). where did you start?

Explanation:

Step1: Analyze vertical - movement effect

Moving down 6 units and up 8 units is equivalent to moving up \(8 - 6=2\) units in total. Let the starting - point coordinates be \((x,y)\). The x - coordinate does not change since there is no horizontal movement. The y - coordinate of the end - point is related to the starting y - coordinate by the vertical movement.

Step2: Calculate the starting y - coordinate

We know that the end - point y - coordinate is 3 and the net vertical movement is + 2 units. Let the starting y - coordinate be \(y\). Then \(y+2 = 3\), so \(y=3 - 2=1\). The x - coordinate of the starting - point is the same as the x - coordinate of the end - point, which is \(-4\).

Answer:

\((-4,1)\)