Thread: Similar Triangles question

Hello! I am writing a program that requires some geometry and nothing I have found online gives me a clear answer...

I have a point lets say at (3,2) I am animating moving that point to the origin at (0,0), and then back to (3,2). I understand that the side lengths will remain proportional to each other, but I can't figure out how I might be able create a sort of rate function I guess? To be able able to calculate the X and Y coordinates all along the path. I need to be able to manipulate each one of the somehow... the animation is continuously updating so I need to be able to decrement and increment the X and Y accordingly...

any ideas?

Thanks guys!

The distance from the origin to a point at (x,y) is . Given that the point (3,2) is on the line that connects (3,2) to the origin, the equation of that line is y = (2/3)x. So the distance from the origin to any point on the line is . The rate at which 'r' changes is therefore equal to times the rate at which x changes. Is that what you're looking for?