Intersection between Line Render and image

Hi, I am trying to make word search game. I make line render script but i want detect line intersecting the image.

Here is code using UnityEngine;

public class DrawLine : MonoBehaviour { private LineRenderer _lineRenderer; public void Start() { _lineRenderer = gameObject.AddComponent();

     SpriteRenderer spriteRenderer = GetComponent<SpriteRenderer>();
     _lineRenderer.sortingLayerID = spriteRenderer.sortingLayerID;
     _lineRenderer.sortingOrder = spriteRenderer.sortingOrder;

     _lineRenderer.SetWidth(0.2f, 0.2f);
     _lineRenderer.enabled = false;
 }

 private Vector3 _initialPosition;
 private Vector3 _currentPosition;
 public void Update()
 {
     if (Input.GetMouseButtonDown(0))
     {
         _initialPosition = GetCurrentMousePosition().GetValueOrDefault();
         _lineRenderer.SetPosition(0, _initialPosition);
         _lineRenderer.SetVertexCount(1);
         _lineRenderer.enabled = true;
     } 
     else if (Input.GetMouseButton(0))
     {
         _currentPosition = GetCurrentMousePosition().GetValueOrDefault();
         _lineRenderer.SetVertexCount(2);
         _lineRenderer.SetPosition(1, _currentPosition);

     } 
     else if (Input.GetMouseButtonUp(0))
     {
         _lineRenderer.enabled = false;
         var releasePosition = GetCurrentMousePosition().GetValueOrDefault();
         var direction = releasePosition - _initialPosition;
         Debug.Log("Process direction " + direction);

         
     }

     
    

 

 }

 private Vector3? GetCurrentMousePosition()
 {
     var ray = Camera.main.ScreenPointToRay(Input.mousePosition);
     var plane = new Plane(Vector3.forward, Vector3.zero);

     float rayDistance;
     if (plane.Raycast(ray, out rayDistance))
     {
         return ray.GetPoint(rayDistance);

     }



     return null;
 }

}