I am trying to make a graph that connects two "nodes" (just a GUI Frame) together by creating a thin GUI frame whose ends are connected to either node. The issue is that when the nodes start to become farther away from each other, the part of the script that is supposed to calculate the length of the line connecting the two nodes begins to overestimate the distance. Heres an example; I am trying to graph the function "tan(x)". Here is what it looks like:

https://imgur.com/a/odpV7Oe

As you can see, the nodes are represented by the red dots on the screen, and the black lines are the GUI frames connecting the red nodes. On the section of the graph where the nodes are more condensed, the script does a fine job in connecting them. When the nodes start to become distant, as marked by the highlighted blue line, the script starts to make the length of the GUI line longer than it actually is, and ends up making the lines break out of the graph frame. Here is the code that connects two nodes together:

local function connectNodes(firstNode, secondNode, reference)
	--Position
	local firstPosition = firstNode.Position
	local secondPosition = secondNode.Position
	
	local firstX = firstNode.Position.X.Scale
	local secondX = secondNode.Position.X.Scale
	
	local firstY = firstNode.Position.Y.Scale
	local secondY = secondNode.Position.Y.Scale
	
	local newX = (firstX + secondX) / 2
	local newY = (firstY + secondY) / 2
	
	local newPosition = Vector2.new(newX, newY)
	
	--Size
	local firstNodeCoordinates = Vector2.new(firstX, firstY)
	local secondNodeCoordinates = Vector2.new(secondX, secondY)
	
	local newSize = (firstNodeCoordinates - secondNodeCoordinates).Magnitude
	
	if (newSize > 0.5) then
		return nil
	end
	
	--Rotation
	local displacement = secondNode.AbsolutePosition - firstNode.AbsolutePosition
   	local rotation = math.atan2(displacement.Y , displacement.X)
	
	local newEdge = edge:Clone()
	newEdge.Position = UDim2.new(newPosition.X, 0, newPosition.Y, 0)
	newEdge.Size = UDim2.new(newSize, 0, 0, 2)
	newEdge.Rotation = math.deg(rotation)
	newEdge.Parent = reference
end

I am not sure if it has something to do with the way I am getting the position of the nodes, or if it is because i'm strictly using Scale (Using AbsolutePosition for firstPosition and secondPosition does end up making them the right size, but the lines are then created off the graph), or maybe something else. Any help is appreciated.

Anonymous