Try to draw a hyperbolic curve of line.

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  import java.awt.BorderLayout;
  import java.awt.Color;
  import java.awt.Graphics;
  import java.awt.event.MouseEvent;
  import java.awt.event.MouseListener;
  import java.awt.event.MouseMotionListener;
  import javax.swing.JButton;
  import javax.swing.JFrame;
  import javax.swing.JOptionPane;
  import javax.swing.JPanel;
  
  
  public class MyPaint extends JPanel
  {
      JButton button;
      JFrame frame;
      int firstX;
      int firstY;
      int currentX;
      int currentY;
      int counter = 1;
  
      public MyPaint()
      {
          createComponents();
          addComponentsToPanels();
          setFrameProperties();
          activateListeners();
      }
  
      public void addComponentsToPanels()
      {
          this.add(button);
      }
  
      public void createComponents()
      {
          button = new JButton("Button");
          button.setToolTipText("This is the first button");
      }
  
      public void setFrameProperties()
      {
          frame = new JFrame();
          frame.setSize(400,400);
          frame.setResizable(false);
          frame.setVisible(true);
          frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
          frame.add(this);
      }
  
      protected void paintComponent(Graphics g)
      {
          g.drawLine(firstX, firstY, currentX, currentY); // why is this choppy set of pixels instead of a smooth line?
      }
  
      public void activateListeners()
      {
          MyMouseListener listener = new MyMouseListener();
  
          // Make a button action listener later
  
          this.addMouseListener(listener);
          this.addMouseMotionListener(listener);
      }
  
      private class MyMouseListener implements MouseListener, MouseMotionListener
      {
  
          public void mouseClicked(MouseEvent e) throws UnsupportedOperationException
          {
  //            JOptionPane.showMessageDialog(null,"The mouse was clicked!");
          }
  
          public void mousePressed(MouseEvent e) throws UnsupportedOperationException
          {
  //            JOptionPane.showMessageDialog(null,"The mouse was pressed!");
              firstX = e.getX();
              firstY = e.getY();
          }
  
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          {
  //            JOptionPane.showMessageDialog(null,"The mouse was released!");
          }
  
          public void mouseEntered(MouseEvent e) throws UnsupportedOperationException
          {
              setBackground(Color.RED); // why isn't this working when I have a paintComponent method? - I want the panel to be red
          }
  
          public void mouseExited(MouseEvent e) throws UnsupportedOperationException
          {
              setBackground(Color.BLUE); // why isn't this working when I have a paintComponent method? - I want the panel to be blue
          }
  
          public void mouseDragged(MouseEvent e) throws UnsupportedOperationException
          {
              currentX = e.getX();
              currentY = e.getY();
              repaint();
              firstX = currentX;
              firstY = currentY;
          }
  
          public void mouseMoved(MouseEvent e) throws UnsupportedOperationException
          {
              System.out.println("mouseMoved: " + counter);
              counter++;
          }
      }
  
      public static void main(String[] args)
      {
          new MyPaint();
      }
  }

  Any help would be greatly appreciated!
  Thanks in advance!

  Move these two lines:

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  1st = currentY;

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  @Override
  public void paintComponent(Graphics g) {
     super.paintComponent(g); // needed if the custom painting does not paint the complete component
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     if (whateverCondition) {
        g.drawImage(overlayImage, ...);
     }
  }
  

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  DB