# Thread: movement of a point

1. ## movement of a point

there is one point on x-axis and other one on y-axis and both points are connected with a diagonal line. If one point on x-axis is moving to the positive side and other one is also moving on y-axis downward with the same distance. the question is if there is a third point on the diagonal that is connecting those two points, what will be path of that third point?
Thank you

2. Originally Posted by spred
there is one point on x-axis and other one on y-axis and both points are connected with a diagonal line. If one point on x-axis is moving to the positive side and other one is also moving on y-axis downward with the same distance. the question is if there is a third point on the diagonal that is connecting those two points, what will be path of that third point?
Thank you
Initial location of the point (x,y)
after a movement, the point will move a proportional amount relative to the location of the point on the diagonal line connecting the y-axis point and the x-axis point.

ASSUME: the point is at the MIDPOINT of the diagonal.
If the initial movement is 2D then
after an initial movement
location of the point (x+d,y-d)

after a 2nd equal movement
location of the point (x+2d, y-2d)

after a 3rd equal movement
location of the point (x+3d, y-3d)

It is linear.
The path is a line.

[As stated, the "diagonal" is increasing in length with each movement.]

Hope that helps.

3. If you have a rigid line between the two axes, with always the same length then the two endpoints could not move the same distance.

4. No, this is not a rigid line. you can move this line like a thread.