Question

1) Is (3,0) in the same location as (0,3) if you were to graph them? Why or why not

2)Give the coordinates of a point such that if the coordinates are reversed, the location is the same.

3) In general, what points can have the coordinates reversed and have the same location?

Answer 1

1) No the locations are not the same. To get to the point (3,0), you would move 3 units to the right of the origin. To get to (0,3), you would move 3 units up from the origin. The origin is the starting point every time to help set a frame of reference.

2) The origin (0,0) is the only point in which you can reverse the coordinates and have the same location

3) This is basically a repeat of problem 2 above. The same answer (0,0) which is the origin applies here.