How do I pin an object in construct to a path (found by pathfinding plugin path)?

I am trying to pin an object to a line (much like y = mx +c). I rendered two objects (A and B) on the layout and by using pathfinding Behavior i will draw a line between them. Is there any way so that:

1. Either, i can bound an object (DragDrop Behaviour) to this line that i am gonna draw by pathfinding.
2. Or, I can restrict an object's movement to that line (pathfinding from A to B) only.

Is it just a straight line between A and B?

If so you can limit another objects position between them with:

T=clamp(((b.x-a.x)*(sprite.x-a.x)+ (b.y-a.y)*(sprite.y-a.y))/((b.x-a.x)^2+ (b.y-a.y)^2),0,1)

X=lerp(a.x,b.x,t)

Y=lerp(a.y,b.y,t)

That formula is a vector projection.

If the path isn’t straight then you’ll have a series of lines. For that you’ll need to incrementally find what line segment to limit the sprite’s position to.